Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(2,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(180))
chi = DirichletCharacter(H, H._module([9, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.bi (of order \(180\), degree \(48\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(2304\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{180})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{180}]$ |
Embedding invariants
Embedding label | 117.46 | ||
Character | \(\chi\) | \(=\) | 475.117 |
Dual form | 475.2.bi.a.203.46 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{13}{20}\right)\) | \(e\left(\frac{13}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.02238 | + | 2.40858i | 0.722933 | + | 1.70312i | 0.710997 | + | 0.703195i | \(0.248244\pi\) |
0.0119356 | + | 0.999929i | \(0.496201\pi\) | |||||||
\(3\) | −2.61303 | + | 0.507921i | −1.50863 | + | 0.293248i | −0.876420 | − | 0.481548i | \(-0.840075\pi\) |
−0.632211 | + | 0.774796i | \(0.717853\pi\) | |||||||
\(4\) | −3.36668 | + | 3.48630i | −1.68334 | + | 1.74315i | ||||
\(5\) | −2.13894 | − | 0.651867i | −0.956564 | − | 0.291524i | ||||
\(6\) | −3.89488 | − | 5.77439i | −1.59008 | − | 2.35739i | ||||
\(7\) | −1.09276 | + | 4.07822i | −0.413023 | + | 1.54142i | 0.375739 | + | 0.926725i | \(0.377389\pi\) |
−0.788763 | + | 0.614698i | \(0.789278\pi\) | |||||||
\(8\) | −6.95347 | − | 2.66919i | −2.45842 | − | 0.943700i | ||||
\(9\) | 3.78837 | − | 1.53060i | 1.26279 | − | 0.510200i | ||||
\(10\) | −0.616740 | − | 5.81827i | −0.195030 | − | 1.83990i | ||||
\(11\) | 3.20081 | + | 0.680353i | 0.965080 | + | 0.205134i | 0.663392 | − | 0.748272i | \(-0.269116\pi\) |
0.301689 | + | 0.953407i | \(0.402450\pi\) | |||||||
\(12\) | 7.02645 | − | 10.8198i | 2.02836 | − | 3.12340i | ||||
\(13\) | 1.12128 | − | 0.137675i | 0.310986 | − | 0.0381843i | 0.0351285 | − | 0.999383i | \(-0.488816\pi\) |
0.275858 | + | 0.961199i | \(0.411038\pi\) | |||||||
\(14\) | −10.9399 | + | 1.53751i | −2.92382 | + | 0.410916i | ||||
\(15\) | 5.92021 | + | 0.616933i | 1.52859 | + | 0.159291i | ||||
\(16\) | −0.341866 | − | 9.78977i | −0.0854666 | − | 2.44744i | ||||
\(17\) | 1.62579 | − | 2.70577i | 0.394312 | − | 0.656245i | −0.594723 | − | 0.803931i | \(-0.702738\pi\) |
0.989034 | + | 0.147686i | \(0.0471825\pi\) | |||||||
\(18\) | 7.55974 | + | 7.55974i | 1.78185 | + | 1.78185i | ||||
\(19\) | −4.07989 | + | 1.53444i | −0.935990 | + | 0.352026i | ||||
\(20\) | 9.47373 | − | 5.26236i | 2.11839 | − | 1.17670i | ||||
\(21\) | 0.783987 | − | 11.2115i | 0.171080 | − | 2.44656i | ||||
\(22\) | 1.63376 | + | 8.40498i | 0.348320 | + | 1.79195i | ||||
\(23\) | −1.04400 | + | 3.41476i | −0.217689 | + | 0.712027i | 0.778722 | + | 0.627370i | \(0.215868\pi\) |
−0.996410 | + | 0.0846575i | \(0.973020\pi\) | |||||||
\(24\) | 19.5253 | + | 3.44284i | 3.98559 | + | 0.702767i | ||||
\(25\) | 4.15014 | + | 2.78861i | 0.830028 | + | 0.557722i | ||||
\(26\) | 1.47798 | + | 2.55993i | 0.289855 | + | 0.502043i | ||||
\(27\) | −2.42423 | + | 1.57431i | −0.466544 | + | 0.302977i | ||||
\(28\) | −10.5389 | − | 17.5397i | −1.99167 | − | 3.31470i | ||||
\(29\) | 2.20289 | − | 8.83532i | 0.409067 | − | 1.64068i | −0.313654 | − | 0.949537i | \(-0.601553\pi\) |
0.722721 | − | 0.691140i | \(-0.242891\pi\) | |||||||
\(30\) | 4.56678 | + | 14.8900i | 0.833776 | + | 2.71854i | ||||
\(31\) | −6.77803 | − | 0.712400i | −1.21737 | − | 0.127951i | −0.526021 | − | 0.850472i | \(-0.676317\pi\) |
−0.691349 | + | 0.722521i | \(0.742983\pi\) | |||||||
\(32\) | 9.72926 | − | 4.53683i | 1.71991 | − | 0.802005i | ||||
\(33\) | −8.70936 | − | 0.152022i | −1.51611 | − | 0.0264637i | ||||
\(34\) | 8.17923 | + | 1.14952i | 1.40273 | + | 0.197140i | ||||
\(35\) | 4.99580 | − | 8.01075i | 0.844444 | − | 1.35406i | ||||
\(36\) | −7.41809 | + | 18.3604i | −1.23635 | + | 3.06007i | ||||
\(37\) | 2.75789 | + | 5.41267i | 0.453394 | + | 0.889837i | 0.998669 | + | 0.0515791i | \(0.0164254\pi\) |
−0.545274 | + | 0.838258i | \(0.683575\pi\) | |||||||
\(38\) | −7.86703 | − | 8.25795i | −1.27620 | − | 1.33962i | ||||
\(39\) | −2.86000 | + | 0.929269i | −0.457966 | + | 0.148802i | ||||
\(40\) | 13.1331 | + | 10.2420i | 2.07653 | + | 1.61940i | ||||
\(41\) | −9.56524 | + | 0.334025i | −1.49384 | + | 0.0521660i | −0.770107 | − | 0.637915i | \(-0.779797\pi\) |
−0.723732 | + | 0.690081i | \(0.757575\pi\) | |||||||
\(42\) | 27.8054 | − | 9.57417i | 4.29047 | − | 1.47733i | ||||
\(43\) | −1.00961 | − | 1.44187i | −0.153964 | − | 0.219883i | 0.734759 | − | 0.678328i | \(-0.237295\pi\) |
−0.888723 | + | 0.458446i | \(0.848406\pi\) | |||||||
\(44\) | −13.1480 | + | 8.86844i | −1.98214 | + | 1.33697i | ||||
\(45\) | −9.10085 | + | 0.804352i | −1.35667 | + | 0.119906i | ||||
\(46\) | −9.29209 | + | 0.976638i | −1.37004 | + | 0.143997i | ||||
\(47\) | −6.64401 | + | 3.99212i | −0.969129 | + | 0.582311i | −0.909409 | − | 0.415904i | \(-0.863465\pi\) |
−0.0597201 | + | 0.998215i | \(0.519021\pi\) | |||||||
\(48\) | 5.86573 | + | 25.4073i | 0.846646 | + | 3.66723i | ||||
\(49\) | −9.37561 | − | 5.41301i | −1.33937 | − | 0.773287i | ||||
\(50\) | −2.47357 | + | 12.8470i | −0.349815 | + | 1.81684i | ||||
\(51\) | −2.87391 | + | 7.89601i | −0.402428 | + | 1.10566i | ||||
\(52\) | −3.29500 | + | 4.37261i | −0.456934 | + | 0.606372i | ||||
\(53\) | 0.0581130 | + | 3.32929i | 0.00798243 | + | 0.457313i | 0.977342 | + | 0.211667i | \(0.0678891\pi\) |
−0.969359 | + | 0.245647i | \(0.921000\pi\) | |||||||
\(54\) | −6.27035 | − | 4.22941i | −0.853287 | − | 0.575549i | ||||
\(55\) | −6.40284 | − | 3.54174i | −0.863359 | − | 0.477568i | ||||
\(56\) | 18.4840 | − | 25.4410i | 2.47003 | − | 3.39970i | ||||
\(57\) | 9.88148 | − | 6.08180i | 1.30883 | − | 0.805554i | ||||
\(58\) | 23.5328 | − | 3.72722i | 3.09000 | − | 0.489408i | ||||
\(59\) | 6.62046 | − | 4.13692i | 0.861911 | − | 0.538581i | −0.0254403 | − | 0.999676i | \(-0.508099\pi\) |
0.887351 | + | 0.461095i | \(0.152543\pi\) | |||||||
\(60\) | −22.0822 | + | 18.5626i | −2.85080 | + | 2.39642i | ||||
\(61\) | 4.79180 | − | 2.54785i | 0.613527 | − | 0.326218i | −0.133462 | − | 0.991054i | \(-0.542610\pi\) |
0.746990 | + | 0.664836i | \(0.231498\pi\) | |||||||
\(62\) | −5.21386 | − | 17.0538i | −0.662161 | − | 2.16583i | ||||
\(63\) | 2.10237 | + | 17.1224i | 0.264873 | + | 2.15722i | ||||
\(64\) | 6.31502 | + | 5.68607i | 0.789378 | + | 0.710759i | ||||
\(65\) | −2.48809 | − | 0.436443i | −0.308610 | − | 0.0541342i | ||||
\(66\) | −8.53813 | − | 21.1326i | −1.05097 | − | 2.60125i | ||||
\(67\) | −5.86611 | + | 6.74819i | −0.716659 | + | 0.824422i | −0.990523 | − | 0.137346i | \(-0.956143\pi\) |
0.273864 | + | 0.961768i | \(0.411698\pi\) | |||||||
\(68\) | 3.95960 | + | 14.7774i | 0.480172 | + | 1.79203i | ||||
\(69\) | 0.993564 | − | 9.45313i | 0.119611 | − | 1.13802i | ||||
\(70\) | 24.4021 | + | 3.84275i | 2.91661 | + | 0.459296i | ||||
\(71\) | 3.09434 | − | 1.50921i | 0.367231 | − | 0.179110i | −0.245511 | − | 0.969394i | \(-0.578956\pi\) |
0.612741 | + | 0.790284i | \(0.290067\pi\) | |||||||
\(72\) | −30.4278 | + | 0.531119i | −3.58595 | + | 0.0625929i | ||||
\(73\) | −6.29419 | − | 0.772829i | −0.736679 | − | 0.0904528i | −0.255173 | − | 0.966895i | \(-0.582132\pi\) |
−0.481506 | + | 0.876443i | \(0.659910\pi\) | |||||||
\(74\) | −10.2172 | + | 12.1764i | −1.18773 | + | 1.41548i | ||||
\(75\) | −12.2608 | − | 5.17877i | −1.41576 | − | 0.597993i | ||||
\(76\) | 8.38614 | − | 19.3897i | 0.961956 | − | 2.22415i | ||||
\(77\) | −6.27234 | + | 12.3102i | −0.714799 | + | 1.40287i | ||||
\(78\) | −5.16223 | − | 5.93846i | −0.584507 | − | 0.672399i | ||||
\(79\) | 8.93542 | − | 13.2473i | 1.00531 | − | 1.49044i | 0.139404 | − | 0.990236i | \(-0.455481\pi\) |
0.865909 | − | 0.500202i | \(-0.166741\pi\) | |||||||
\(80\) | −5.65040 | + | 21.1626i | −0.631734 | + | 2.36605i | ||||
\(81\) | −3.28247 | + | 3.16985i | −0.364719 | + | 0.352205i | ||||
\(82\) | −10.5838 | − | 22.6971i | −1.16879 | − | 2.50648i | ||||
\(83\) | 3.82737 | + | 4.72641i | 0.420108 | + | 0.518790i | 0.942632 | − | 0.333834i | \(-0.108343\pi\) |
−0.522524 | + | 0.852625i | \(0.675009\pi\) | |||||||
\(84\) | 36.4473 | + | 40.4788i | 3.97673 | + | 4.41660i | ||||
\(85\) | −5.24127 | + | 4.72768i | −0.568495 | + | 0.512789i | ||||
\(86\) | 2.44065 | − | 3.90586i | 0.263182 | − | 0.421180i | ||||
\(87\) | −1.26857 | + | 24.2058i | −0.136005 | + | 2.59514i | ||||
\(88\) | −20.4407 | − | 13.2744i | −2.17899 | − | 1.41505i | ||||
\(89\) | −0.327396 | + | 9.37540i | −0.0347039 | + | 0.993791i | 0.849757 | + | 0.527175i | \(0.176749\pi\) |
−0.884460 | + | 0.466615i | \(0.845473\pi\) | |||||||
\(90\) | −11.2419 | − | 21.0978i | −1.18500 | − | 2.22390i | ||||
\(91\) | −0.663811 | + | 4.72326i | −0.0695863 | + | 0.495132i | ||||
\(92\) | −8.39007 | − | 15.1361i | −0.874725 | − | 1.57805i | ||||
\(93\) | 18.0730 | − | 1.58118i | 1.87408 | − | 0.163961i | ||||
\(94\) | −16.4081 | − | 11.9212i | −1.69236 | − | 1.22957i | ||||
\(95\) | 9.72689 | − | 0.622542i | 0.997958 | − | 0.0638715i | ||||
\(96\) | −23.1185 | + | 16.7965i | −2.35952 | + | 1.71429i | ||||
\(97\) | −2.11279 | + | 1.83662i | −0.214522 | + | 0.186481i | −0.756660 | − | 0.653808i | \(-0.773170\pi\) |
0.542139 | + | 0.840289i | \(0.317615\pi\) | |||||||
\(98\) | 3.45222 | − | 28.1161i | 0.348727 | − | 2.84015i | ||||
\(99\) | 13.1672 | − | 2.32173i | 1.32335 | − | 0.233343i | ||||
\(100\) | −23.6941 | + | 5.08026i | −2.36941 | + | 0.508026i | ||||
\(101\) | −4.95357 | − | 1.80295i | −0.492899 | − | 0.179400i | 0.0835985 | − | 0.996500i | \(-0.473359\pi\) |
−0.576497 | + | 0.817099i | \(0.695581\pi\) | |||||||
\(102\) | −21.9564 | + | 1.15069i | −2.17401 | + | 0.113935i | ||||
\(103\) | 0.330279 | − | 0.407861i | 0.0325434 | − | 0.0401877i | −0.760614 | − | 0.649204i | \(-0.775102\pi\) |
0.793158 | + | 0.609016i | \(0.208436\pi\) | |||||||
\(104\) | −8.16424 | − | 2.03557i | −0.800570 | − | 0.199604i | ||||
\(105\) | −8.98533 | + | 23.4698i | −0.876879 | + | 2.29041i | ||||
\(106\) | −7.95945 | + | 3.54378i | −0.773090 | + | 0.344202i | ||||
\(107\) | 2.35013 | + | 0.629717i | 0.227196 | + | 0.0608770i | 0.370621 | − | 0.928784i | \(-0.379145\pi\) |
−0.143425 | + | 0.989661i | \(0.545812\pi\) | |||||||
\(108\) | 2.67308 | − | 13.7518i | 0.257217 | − | 1.32327i | ||||
\(109\) | 1.55051 | + | 0.824423i | 0.148512 | + | 0.0789654i | 0.542065 | − | 0.840337i | \(-0.317643\pi\) |
−0.393552 | + | 0.919302i | \(0.628754\pi\) | |||||||
\(110\) | 1.98441 | − | 19.0428i | 0.189206 | − | 1.81566i | ||||
\(111\) | −9.95565 | − | 12.7426i | −0.944948 | − | 1.20948i | ||||
\(112\) | 40.2984 | + | 9.30363i | 3.80785 | + | 0.879110i | ||||
\(113\) | 2.98110 | − | 1.51895i | 0.280438 | − | 0.142890i | −0.308114 | − | 0.951349i | \(-0.599698\pi\) |
0.588553 | + | 0.808459i | \(0.299698\pi\) | |||||||
\(114\) | 24.7511 | + | 17.5824i | 2.31816 | + | 1.64674i | ||||
\(115\) | 4.45902 | − | 6.62343i | 0.415806 | − | 0.617638i | ||||
\(116\) | 23.3861 | + | 37.4256i | 2.17135 | + | 3.47488i | ||||
\(117\) | 4.03709 | − | 2.23779i | 0.373229 | − | 0.206884i | ||||
\(118\) | 16.7327 | + | 11.7164i | 1.54037 | + | 1.07858i | ||||
\(119\) | 9.25813 | + | 9.58707i | 0.848691 | + | 0.878846i | ||||
\(120\) | −39.5193 | − | 20.0920i | −3.60760 | − | 1.83414i | ||||
\(121\) | −0.266704 | − | 0.118744i | −0.0242458 | − | 0.0107949i | ||||
\(122\) | 11.0357 | + | 8.93657i | 0.999129 | + | 0.809079i | ||||
\(123\) | 24.8246 | − | 5.73120i | 2.23835 | − | 0.516765i | ||||
\(124\) | 25.3031 | − | 21.2318i | 2.27228 | − | 1.90667i | ||||
\(125\) | −7.05910 | − | 8.67001i | −0.631385 | − | 0.775469i | ||||
\(126\) | −39.0912 | + | 22.5693i | −3.48252 | + | 2.01064i | ||||
\(127\) | −4.54870 | − | 4.87788i | −0.403632 | − | 0.432842i | 0.496783 | − | 0.867875i | \(-0.334515\pi\) |
−0.900415 | + | 0.435033i | \(0.856737\pi\) | |||||||
\(128\) | −0.249018 | + | 0.723201i | −0.0220103 | + | 0.0639225i | ||||
\(129\) | 3.37048 | + | 3.25484i | 0.296755 | + | 0.286573i | ||||
\(130\) | −1.49257 | − | 6.43898i | −0.130907 | − | 0.564736i | ||||
\(131\) | 3.19393 | + | 12.8101i | 0.279055 | + | 1.11923i | 0.932185 | + | 0.361982i | \(0.117900\pi\) |
−0.653130 | + | 0.757246i | \(0.726545\pi\) | |||||||
\(132\) | 29.8516 | − | 29.8516i | 2.59825 | − | 2.59825i | ||||
\(133\) | −1.79948 | − | 18.3155i | −0.156035 | − | 1.58815i | ||||
\(134\) | −22.2509 | − | 7.22977i | −1.92219 | − | 0.624557i | ||||
\(135\) | 6.21153 | − | 1.78709i | 0.534604 | − | 0.153808i | ||||
\(136\) | −18.5271 | + | 14.4749i | −1.58868 | + | 1.24122i | ||||
\(137\) | −8.21760 | − | 10.9051i | −0.702077 | − | 0.931688i | 0.297659 | − | 0.954672i | \(-0.403794\pi\) |
−0.999736 | + | 0.0229845i | \(0.992683\pi\) | |||||||
\(138\) | 23.7844 | − | 7.27163i | 2.02466 | − | 0.619002i | ||||
\(139\) | −9.81969 | − | 0.342911i | −0.832895 | − | 0.0290853i | −0.384722 | − | 0.923032i | \(-0.625703\pi\) |
−0.448173 | + | 0.893947i | \(0.647925\pi\) | |||||||
\(140\) | 11.1086 | + | 44.3864i | 0.938847 | + | 3.75134i | ||||
\(141\) | 15.3333 | − | 13.8062i | 1.29130 | − | 1.16269i | ||||
\(142\) | 6.79865 | + | 5.90998i | 0.570530 | + | 0.495954i | ||||
\(143\) | 3.68266 | + | 0.322191i | 0.307959 | + | 0.0269430i | ||||
\(144\) | −16.2794 | − | 36.5640i | −1.35661 | − | 3.04700i | ||||
\(145\) | −10.4713 | + | 17.4622i | −0.869595 | + | 1.45016i | ||||
\(146\) | −4.57364 | − | 15.9502i | −0.378517 | − | 1.32005i | ||||
\(147\) | 27.2481 | + | 9.38227i | 2.24738 | + | 0.773837i | ||||
\(148\) | −28.1551 | − | 8.60787i | −2.31433 | − | 0.707563i | ||||
\(149\) | 2.48201 | + | 6.81926i | 0.203334 | + | 0.558656i | 0.998884 | − | 0.0472323i | \(-0.0150401\pi\) |
−0.795550 | + | 0.605888i | \(0.792818\pi\) | |||||||
\(150\) | −0.0617507 | − | 34.8258i | −0.00504192 | − | 2.84352i | ||||
\(151\) | 21.3829i | 1.74012i | 0.492949 | + | 0.870058i | \(0.335919\pi\) | ||||
−0.492949 | + | 0.870058i | \(0.664081\pi\) | |||||||
\(152\) | 32.4651 | + | 0.220271i | 2.63327 | + | 0.0178663i | ||||
\(153\) | 2.01764 | − | 12.7389i | 0.163117 | − | 1.02988i | ||||
\(154\) | −36.0627 | − | 2.52175i | −2.90602 | − | 0.203208i | ||||
\(155\) | 14.0334 | + | 5.94215i | 1.12719 | + | 0.477285i | ||||
\(156\) | 6.38898 | − | 13.0993i | 0.511528 | − | 1.04879i | ||||
\(157\) | −5.16947 | + | 3.61970i | −0.412568 | + | 0.288883i | −0.761376 | − | 0.648311i | \(-0.775476\pi\) |
0.348807 | + | 0.937194i | \(0.386587\pi\) | |||||||
\(158\) | 41.0426 | + | 7.97787i | 3.26517 | + | 0.634685i | ||||
\(159\) | −1.84287 | − | 8.67001i | −0.146149 | − | 0.687576i | ||||
\(160\) | −23.7677 | + | 3.36183i | −1.87900 | + | 0.265776i | ||||
\(161\) | −12.7853 | − | 7.98916i | −1.00762 | − | 0.629634i | ||||
\(162\) | −10.9908 | − | 4.66531i | −0.863517 | − | 0.366541i | ||||
\(163\) | −14.2968 | − | 0.749264i | −1.11981 | − | 0.0586869i | −0.516570 | − | 0.856245i | \(-0.672792\pi\) |
−0.603243 | + | 0.797558i | \(0.706125\pi\) | |||||||
\(164\) | 31.0386 | − | 34.4718i | 2.42370 | − | 2.69180i | ||||
\(165\) | 18.5297 | + | 6.00251i | 1.44254 | + | 0.467295i | ||||
\(166\) | −7.47090 | + | 14.0507i | −0.579854 | + | 1.09055i | ||||
\(167\) | −0.861195 | − | 2.50109i | −0.0666413 | − | 0.193540i | 0.907233 | − | 0.420629i | \(-0.138190\pi\) |
−0.973874 | + | 0.227088i | \(0.927079\pi\) | |||||||
\(168\) | −35.3771 | + | 75.8665i | −2.72940 | + | 5.85322i | ||||
\(169\) | −11.3755 | + | 2.83624i | −0.875041 | + | 0.218172i | ||||
\(170\) | −16.7456 | − | 7.79052i | −1.28433 | − | 0.597506i | ||||
\(171\) | −13.1075 | + | 12.0577i | −1.00236 | + | 0.922077i | ||||
\(172\) | 8.42580 | + | 1.33452i | 0.642461 | + | 0.101756i | ||||
\(173\) | 11.7617 | − | 4.99253i | 0.894222 | − | 0.379575i | 0.105568 | − | 0.994412i | \(-0.466334\pi\) |
0.788654 | + | 0.614837i | \(0.210778\pi\) | |||||||
\(174\) | −59.5986 | + | 21.6921i | −4.51816 | + | 1.64448i | ||||
\(175\) | −15.9077 | + | 13.8779i | −1.20251 | + | 1.04907i | ||||
\(176\) | 5.56625 | − | 31.5678i | 0.419572 | − | 2.37951i | ||||
\(177\) | −15.1982 | + | 14.1726i | −1.14237 | + | 1.06527i | ||||
\(178\) | −22.9161 | + | 8.79668i | −1.71764 | + | 0.659339i | ||||
\(179\) | 0.348180 | + | 3.31271i | 0.0260242 | + | 0.247603i | 0.999798 | + | 0.0200863i | \(0.00639411\pi\) |
−0.973774 | + | 0.227517i | \(0.926939\pi\) | |||||||
\(180\) | 27.8354 | − | 34.4363i | 2.07473 | − | 2.56673i | ||||
\(181\) | −0.804666 | − | 11.5073i | −0.0598103 | − | 0.855328i | −0.931147 | − | 0.364643i | \(-0.881191\pi\) |
0.871337 | − | 0.490685i | \(-0.163253\pi\) | |||||||
\(182\) | −12.0550 | + | 3.23013i | −0.893578 | + | 0.239433i | ||||
\(183\) | −11.2270 | + | 9.09144i | −0.829923 | + | 0.672059i | ||||
\(184\) | 16.3740 | − | 20.9578i | 1.20711 | − | 1.54503i | ||||
\(185\) | −2.37063 | − | 13.3752i | −0.174292 | − | 0.983361i | ||||
\(186\) | 22.2859 | + | 41.9137i | 1.63408 | + | 3.07326i | ||||
\(187\) | 7.04472 | − | 7.55453i | 0.515161 | − | 0.552442i | ||||
\(188\) | 8.45051 | − | 36.6032i | 0.616317 | − | 2.66956i | ||||
\(189\) | −3.77131 | − | 11.6069i | −0.274323 | − | 0.844278i | ||||
\(190\) | 11.4440 | + | 22.7915i | 0.830238 | + | 1.65347i | ||||
\(191\) | −2.04037 | + | 6.27960i | −0.147636 | + | 0.454376i | −0.997341 | − | 0.0728827i | \(-0.976780\pi\) |
0.849705 | + | 0.527259i | \(0.176780\pi\) | |||||||
\(192\) | −19.3894 | − | 11.6503i | −1.39931 | − | 0.840790i | ||||
\(193\) | −20.7596 | − | 9.68035i | −1.49431 | − | 0.696807i | −0.507944 | − | 0.861390i | \(-0.669594\pi\) |
−0.986363 | + | 0.164584i | \(0.947372\pi\) | |||||||
\(194\) | −6.58373 | − | 3.21110i | −0.472684 | − | 0.230544i | ||||
\(195\) | 6.72313 | − | 0.123315i | 0.481453 | − | 0.00883077i | ||||
\(196\) | 50.4360 | − | 14.4623i | 3.60257 | − | 1.03302i | ||||
\(197\) | 8.22706 | + | 21.4322i | 0.586154 | + | 1.52698i | 0.830341 | + | 0.557255i | \(0.188145\pi\) |
−0.244188 | + | 0.969728i | \(0.578521\pi\) | |||||||
\(198\) | 19.0540 | + | 29.3406i | 1.35411 | + | 2.08514i | ||||
\(199\) | 14.6938 | + | 17.5114i | 1.04162 | + | 1.24135i | 0.969792 | + | 0.243935i | \(0.0784383\pi\) |
0.0718263 | + | 0.997417i | \(0.477117\pi\) | |||||||
\(200\) | −21.4145 | − | 30.4680i | −1.51424 | − | 2.15441i | ||||
\(201\) | 11.9008 | − | 20.6127i | 0.839414 | − | 1.45391i | ||||
\(202\) | −0.721885 | − | 13.7744i | −0.0507916 | − | 0.969162i | ||||
\(203\) | 33.6252 | + | 18.6387i | 2.36002 | + | 1.30818i | ||||
\(204\) | −17.8523 | − | 36.6026i | −1.24991 | − | 2.56270i | ||||
\(205\) | 20.6772 | + | 5.52080i | 1.44416 | + | 0.385589i | ||||
\(206\) | 1.32004 | + | 0.378515i | 0.0919714 | + | 0.0263724i | ||||
\(207\) | 1.27159 | + | 14.5343i | 0.0883816 | + | 1.01021i | ||||
\(208\) | −1.73114 | − | 10.9300i | −0.120033 | − | 0.757857i | ||||
\(209\) | −14.1029 | + | 2.13570i | −0.975518 | + | 0.147729i | ||||
\(210\) | −65.7152 | + | 2.35316i | −4.53478 | + | 0.162384i | ||||
\(211\) | −15.5277 | − | 6.27361i | −1.06897 | − | 0.431893i | −0.228387 | − | 0.973570i | \(-0.573345\pi\) |
−0.840587 | + | 0.541677i | \(0.817790\pi\) | |||||||
\(212\) | −11.8025 | − | 11.0061i | −0.810602 | − | 0.755899i | ||||
\(213\) | −7.31903 | + | 5.51529i | −0.501492 | + | 0.377901i | ||||
\(214\) | 0.886011 | + | 6.30430i | 0.0605665 | + | 0.430953i | ||||
\(215\) | 1.21958 | + | 3.74220i | 0.0831749 | + | 0.255216i | ||||
\(216\) | 21.0590 | − | 4.47622i | 1.43288 | − | 0.304568i | ||||
\(217\) | 10.3121 | − | 26.8638i | 0.700028 | − | 1.82364i | ||||
\(218\) | −0.400472 | + | 4.57741i | −0.0271234 | + | 0.310021i | ||||
\(219\) | 16.8394 | − | 1.17753i | 1.13790 | − | 0.0795699i | ||||
\(220\) | 33.9038 | − | 10.3983i | 2.28580 | − | 0.701055i | ||||
\(221\) | 1.45044 | − | 3.25774i | 0.0975672 | − | 0.219140i | ||||
\(222\) | 20.5132 | − | 37.0068i | 1.37676 | − | 2.48374i | ||||
\(223\) | −0.306783 | − | 0.231178i | −0.0205437 | − | 0.0154808i | 0.591493 | − | 0.806310i | \(-0.298539\pi\) |
−0.612037 | + | 0.790829i | \(0.709650\pi\) | |||||||
\(224\) | 7.87048 | + | 44.6357i | 0.525869 | + | 2.98235i | ||||
\(225\) | 19.9905 | + | 4.21208i | 1.33270 | + | 0.280805i | ||||
\(226\) | 6.70632 | + | 5.62727i | 0.446098 | + | 0.374321i | ||||
\(227\) | 6.22687 | + | 3.17275i | 0.413292 | + | 0.210583i | 0.648258 | − | 0.761421i | \(-0.275498\pi\) |
−0.234966 | + | 0.972004i | \(0.575498\pi\) | |||||||
\(228\) | −12.0648 | + | 54.9252i | −0.799009 | + | 3.63751i | ||||
\(229\) | 12.7531 | + | 17.5532i | 0.842751 | + | 1.15995i | 0.985414 | + | 0.170176i | \(0.0544336\pi\) |
−0.142663 | + | 0.989771i | \(0.545566\pi\) | |||||||
\(230\) | 20.5119 | + | 3.96824i | 1.35251 | + | 0.261658i | ||||
\(231\) | 10.1372 | − | 35.3526i | 0.666978 | − | 2.32603i | ||||
\(232\) | −38.9008 | + | 55.5562i | −2.55397 | + | 3.64744i | ||||
\(233\) | −0.232727 | + | 13.3329i | −0.0152464 | + | 0.873467i | 0.891798 | + | 0.452433i | \(0.149444\pi\) |
−0.907045 | + | 0.421034i | \(0.861667\pi\) | |||||||
\(234\) | 9.51735 | + | 7.43577i | 0.622168 | + | 0.486091i | ||||
\(235\) | 16.8135 | − | 4.20791i | 1.09679 | − | 0.274494i | ||||
\(236\) | −7.86642 | + | 37.0086i | −0.512060 | + | 2.40905i | ||||
\(237\) | −16.6199 | + | 39.1540i | −1.07958 | + | 2.54333i | ||||
\(238\) | −13.6259 | + | 32.1006i | −0.883236 | + | 2.08077i | ||||
\(239\) | −5.19050 | + | 24.4194i | −0.335746 | + | 1.57956i | 0.409207 | + | 0.912441i | \(0.365805\pi\) |
−0.744953 | + | 0.667117i | \(0.767528\pi\) | |||||||
\(240\) | 4.01571 | − | 58.1684i | 0.259213 | − | 3.75475i | ||||
\(241\) | −10.9608 | − | 8.56353i | −0.706048 | − | 0.551625i | 0.197400 | − | 0.980323i | \(-0.436750\pi\) |
−0.903448 | + | 0.428698i | \(0.858973\pi\) | |||||||
\(242\) | 0.0133318 | − | 0.763779i | 0.000857002 | − | 0.0490976i | ||||
\(243\) | 11.9410 | − | 17.0536i | 0.766018 | − | 1.09399i | ||||
\(244\) | −7.24990 | + | 25.2834i | −0.464127 | + | 1.61860i | ||||
\(245\) | 16.5253 | + | 17.6898i | 1.05576 | + | 1.13016i | ||||
\(246\) | 39.1842 | + | 53.9325i | 2.49829 | + | 3.43861i | ||||
\(247\) | −4.36343 | + | 2.28224i | −0.277638 | + | 0.145215i | ||||
\(248\) | 45.2293 | + | 23.0455i | 2.87206 | + | 1.46339i | ||||
\(249\) | −12.4017 | − | 10.4062i | −0.785923 | − | 0.659468i | ||||
\(250\) | 13.6653 | − | 25.8665i | 0.864271 | − | 1.63594i | ||||
\(251\) | −0.810757 | − | 4.59803i | −0.0511745 | − | 0.290225i | 0.948471 | − | 0.316865i | \(-0.102630\pi\) |
−0.999645 | + | 0.0266401i | \(0.991519\pi\) | |||||||
\(252\) | −66.7717 | − | 50.3161i | −4.20622 | − | 3.16962i | ||||
\(253\) | −5.66488 | + | 10.2197i | −0.356148 | + | 0.642508i | ||||
\(254\) | 7.09826 | − | 15.9430i | 0.445385 | − | 1.00035i | ||||
\(255\) | 11.2943 | − | 15.0157i | 0.707275 | − | 0.940319i | ||||
\(256\) | 14.9575 | − | 1.04593i | 0.934845 | − | 0.0653708i | ||||
\(257\) | −0.969555 | + | 11.0821i | −0.0604792 | + | 0.691280i | 0.904071 | + | 0.427382i | \(0.140564\pi\) |
−0.964550 | + | 0.263899i | \(0.914992\pi\) | |||||||
\(258\) | −4.39362 | + | 11.4458i | −0.273535 | + | 0.712583i | ||||
\(259\) | −25.0878 | + | 5.33257i | −1.55888 | + | 0.331350i | ||||
\(260\) | 9.89817 | − | 7.20486i | 0.613859 | − | 0.446826i | ||||
\(261\) | −5.17797 | − | 36.8432i | −0.320509 | − | 2.28054i | ||||
\(262\) | −27.5888 | + | 20.7897i | −1.70444 | + | 1.28439i | ||||
\(263\) | −11.4322 | − | 10.6607i | −0.704940 | − | 0.657367i | 0.245099 | − | 0.969498i | \(-0.421179\pi\) |
−0.950039 | + | 0.312131i | \(0.898957\pi\) | |||||||
\(264\) | 60.1545 | + | 24.3040i | 3.70225 | + | 1.49581i | ||||
\(265\) | 2.04595 | − | 7.15904i | 0.125682 | − | 0.439776i | ||||
\(266\) | 42.2745 | − | 23.0596i | 2.59202 | − | 1.41387i | ||||
\(267\) | −3.90647 | − | 24.6645i | −0.239072 | − | 1.50944i | ||||
\(268\) | −3.77688 | − | 43.1700i | −0.230710 | − | 2.63702i | ||||
\(269\) | 7.24237 | + | 2.07672i | 0.441575 | + | 0.126620i | 0.489056 | − | 0.872253i | \(-0.337341\pi\) |
−0.0474807 | + | 0.998872i | \(0.515119\pi\) | |||||||
\(270\) | 10.6549 | + | 13.1339i | 0.648437 | + | 0.799303i | ||||
\(271\) | 2.38826 | + | 4.89665i | 0.145076 | + | 0.297450i | 0.958942 | − | 0.283603i | \(-0.0915297\pi\) |
−0.813866 | + | 0.581053i | \(0.802641\pi\) | |||||||
\(272\) | −27.0446 | − | 14.9911i | −1.63982 | − | 0.908968i | ||||
\(273\) | −0.664487 | − | 12.6792i | −0.0402166 | − | 0.767378i | ||||
\(274\) | 17.8643 | − | 30.9420i | 1.07922 | − | 1.86927i | ||||
\(275\) | 11.3866 | + | 11.7494i | 0.686636 | + | 0.708513i | ||||
\(276\) | 29.6114 | + | 35.2895i | 1.78240 | + | 2.12418i | ||||
\(277\) | 0.488297 | + | 0.751911i | 0.0293389 | + | 0.0451780i | 0.853036 | − | 0.521852i | \(-0.174759\pi\) |
−0.823697 | + | 0.567030i | \(0.808092\pi\) | |||||||
\(278\) | −9.21354 | − | 24.0021i | −0.552591 | − | 1.43955i | ||||
\(279\) | −26.7681 | + | 7.67563i | −1.60256 | + | 0.459528i | ||||
\(280\) | −56.1203 | + | 42.3678i | −3.35383 | + | 2.53196i | ||||
\(281\) | 4.52454 | + | 2.20677i | 0.269911 | + | 0.131645i | 0.568357 | − | 0.822782i | \(-0.307579\pi\) |
−0.298446 | + | 0.954427i | \(0.596468\pi\) | |||||||
\(282\) | 48.9297 | + | 22.8163i | 2.91372 | + | 1.35869i | ||||
\(283\) | −28.3477 | − | 17.0330i | −1.68509 | − | 1.01251i | −0.937266 | − | 0.348615i | \(-0.886652\pi\) |
−0.747829 | − | 0.663892i | \(-0.768903\pi\) | |||||||
\(284\) | −5.15609 | + | 15.8688i | −0.305958 | + | 0.941641i | ||||
\(285\) | −25.1004 | + | 6.56721i | −1.48682 | + | 0.389008i | ||||
\(286\) | 2.98906 | + | 9.19938i | 0.176747 | + | 0.543971i | ||||
\(287\) | 9.09024 | − | 39.3742i | 0.536580 | − | 2.32418i | ||||
\(288\) | 29.9140 | − | 32.0788i | 1.76270 | − | 1.89026i | ||||
\(289\) | 3.30303 | + | 6.21210i | 0.194296 | + | 0.365417i | ||||
\(290\) | −52.7649 | − | 7.36792i | −3.09846 | − | 0.432659i | ||||
\(291\) | 4.58792 | − | 5.87227i | 0.268949 | − | 0.344239i | ||||
\(292\) | 23.8848 | − | 19.3415i | 1.39775 | − | 1.13188i | ||||
\(293\) | 10.3399 | − | 2.77058i | 0.604066 | − | 0.161859i | 0.0561919 | − | 0.998420i | \(-0.482104\pi\) |
0.547874 | + | 0.836561i | \(0.315437\pi\) | |||||||
\(294\) | 5.26000 | + | 75.2215i | 0.306769 | + | 4.38701i | ||||
\(295\) | −16.8575 | + | 4.53298i | −0.981482 | + | 0.263920i | ||||
\(296\) | −4.72949 | − | 44.9981i | −0.274896 | − | 2.61546i | ||||
\(297\) | −8.83059 | + | 3.38975i | −0.512403 | + | 0.196693i | ||||
\(298\) | −13.8872 | + | 12.9500i | −0.804463 | + | 0.750174i | ||||
\(299\) | −0.700481 | + | 3.97263i | −0.0405099 | + | 0.229743i | ||||
\(300\) | 59.3329 | − | 25.3096i | 3.42559 | − | 1.46125i | ||||
\(301\) | 6.98352 | − | 2.54179i | 0.402523 | − | 0.146506i | ||||
\(302\) | −51.5025 | + | 21.8615i | −2.96363 | + | 1.25799i | ||||
\(303\) | 13.8596 | + | 2.19514i | 0.796211 | + | 0.126108i | ||||
\(304\) | 16.4166 | + | 39.4166i | 0.941558 | + | 2.26070i | ||||
\(305\) | −11.9102 | + | 2.32608i | −0.681978 | + | 0.133191i | ||||
\(306\) | 32.7454 | − | 8.16435i | 1.87193 | − | 0.466725i | ||||
\(307\) | 5.58643 | − | 11.9801i | 0.318834 | − | 0.683743i | −0.679938 | − | 0.733269i | \(-0.737993\pi\) |
0.998773 | + | 0.0495266i | \(0.0157713\pi\) | |||||||
\(308\) | −21.7999 | − | 63.3115i | −1.24217 | − | 3.60751i | ||||
\(309\) | −0.655868 | + | 1.23351i | −0.0373110 | + | 0.0701718i | ||||
\(310\) | 0.0353524 | + | 39.8758i | 0.00200788 | + | 2.26479i | ||||
\(311\) | 11.7183 | − | 13.0145i | 0.664483 | − | 0.737983i | −0.312824 | − | 0.949811i | \(-0.601275\pi\) |
0.977307 | + | 0.211828i | \(0.0679416\pi\) | |||||||
\(312\) | 22.3673 | + | 1.17222i | 1.26630 | + | 0.0663639i | ||||
\(313\) | −9.62289 | − | 4.08467i | −0.543918 | − | 0.230879i | 0.101330 | − | 0.994853i | \(-0.467690\pi\) |
−0.645248 | + | 0.763973i | \(0.723246\pi\) | |||||||
\(314\) | −14.0035 | − | 8.75036i | −0.790263 | − | 0.493811i | ||||
\(315\) | 6.66469 | − | 37.9943i | 0.375513 | − | 2.14073i | ||||
\(316\) | 16.1013 | + | 75.7509i | 0.905772 | + | 4.26132i | ||||
\(317\) | −15.5937 | − | 3.03111i | −0.875829 | − | 0.170244i | −0.267145 | − | 0.963656i | \(-0.586080\pi\) |
−0.608684 | + | 0.793413i | \(0.708302\pi\) | |||||||
\(318\) | 18.9983 | − | 13.3028i | 1.06537 | − | 0.745981i | ||||
\(319\) | 13.0622 | − | 26.7814i | 0.731341 | − | 1.49947i | ||||
\(320\) | −9.80090 | − | 16.2787i | −0.547887 | − | 0.910009i | ||||
\(321\) | −6.46081 | − | 0.451784i | −0.360607 | − | 0.0252161i | ||||
\(322\) | 6.17105 | − | 38.9625i | 0.343899 | − | 2.17129i | ||||
\(323\) | −2.48119 | + | 13.5339i | −0.138057 | + | 0.753047i | ||||
\(324\) | − | 22.1155i | − | 1.22864i | ||||||
\(325\) | 5.03738 | + | 2.55543i | 0.279423 | + | 0.141750i | ||||
\(326\) | −12.8121 | − | 35.2011i | −0.709599 | − | 1.94961i | ||||
\(327\) | −4.47028 | − | 1.36670i | −0.247207 | − | 0.0755787i | ||||
\(328\) | 67.4031 | + | 23.2088i | 3.72172 | + | 1.28149i | ||||
\(329\) | −9.02049 | − | 31.4582i | −0.497316 | − | 1.73435i | ||||
\(330\) | 4.48691 | + | 50.7672i | 0.246996 | + | 2.79464i | ||||
\(331\) | 2.33545 | + | 5.24552i | 0.128368 | + | 0.288320i | 0.966283 | − | 0.257481i | \(-0.0828924\pi\) |
−0.837915 | + | 0.545800i | \(0.816226\pi\) | |||||||
\(332\) | −29.3632 | − | 2.56894i | −1.61151 | − | 0.140989i | ||||
\(333\) | 18.7325 | + | 16.2840i | 1.02654 | + | 0.892355i | ||||
\(334\) | 5.14361 | − | 4.63133i | 0.281446 | − | 0.253415i | ||||
\(335\) | 16.9462 | − | 10.6100i | 0.925869 | − | 0.579689i | ||||
\(336\) | −110.026 | − | 3.84221i | −6.00243 | − | 0.209610i | ||||
\(337\) | −27.7707 | + | 8.49037i | −1.51277 | + | 0.462500i | −0.935283 | − | 0.353901i | \(-0.884855\pi\) |
−0.577486 | + | 0.816401i | \(0.695966\pi\) | |||||||
\(338\) | −18.4615 | − | 24.4992i | −1.00417 | − | 1.33258i | ||||
\(339\) | −7.01818 | + | 5.48321i | −0.381175 | + | 0.297807i | ||||
\(340\) | 1.16357 | − | 34.1892i | 0.0631032 | − | 1.85417i | ||||
\(341\) | −21.2105 | − | 6.89171i | −1.14861 | − | 0.373207i | ||||
\(342\) | −42.4429 | − | 19.2429i | −2.29505 | − | 1.04054i | ||||
\(343\) | 11.4225 | − | 11.4225i | 0.616755 | − | 0.616755i | ||||
\(344\) | 3.17166 | + | 12.7208i | 0.171004 | + | 0.685860i | ||||
\(345\) | −8.28736 | + | 19.5720i | −0.446176 | + | 1.05372i | ||||
\(346\) | 24.0498 | + | 23.2246i | 1.29293 | + | 1.24856i | ||||
\(347\) | −2.11465 | + | 6.14140i | −0.113520 | + | 0.329687i | −0.987798 | − | 0.155738i | \(-0.950224\pi\) |
0.874278 | + | 0.485426i | \(0.161335\pi\) | |||||||
\(348\) | −80.1178 | − | 85.9158i | −4.29476 | − | 4.60557i | ||||
\(349\) | 2.43010 | − | 1.40302i | 0.130080 | − | 0.0751020i | −0.433548 | − | 0.901131i | \(-0.642738\pi\) |
0.563628 | + | 0.826029i | \(0.309405\pi\) | |||||||
\(350\) | −49.6898 | − | 24.1264i | −2.65603 | − | 1.28961i | ||||
\(351\) | −2.50149 | + | 2.09900i | −0.133520 | + | 0.112036i | ||||
\(352\) | 34.2281 | − | 7.90219i | 1.82437 | − | 0.421188i | ||||
\(353\) | 8.72043 | + | 7.06166i | 0.464142 | + | 0.375854i | 0.832677 | − | 0.553759i | \(-0.186807\pi\) |
−0.368535 | + | 0.929614i | \(0.620141\pi\) | |||||||
\(354\) | −49.6741 | − | 22.1163i | −2.64015 | − | 1.17547i | ||||
\(355\) | −7.60242 | + | 1.21101i | −0.403494 | + | 0.0642740i | ||||
\(356\) | −31.5832 | − | 32.7054i | −1.67391 | − | 1.73338i | ||||
\(357\) | −29.0612 | − | 20.3489i | −1.53808 | − | 1.07698i | ||||
\(358\) | −7.62295 | + | 4.22547i | −0.402886 | + | 0.223323i | ||||
\(359\) | −4.33188 | − | 6.93245i | −0.228628 | − | 0.365881i | 0.713767 | − | 0.700383i | \(-0.246987\pi\) |
−0.942395 | + | 0.334502i | \(0.891432\pi\) | |||||||
\(360\) | 65.4294 | + | 18.6988i | 3.44843 | + | 0.985515i | ||||
\(361\) | 14.2910 | − | 12.5207i | 0.752156 | − | 0.658985i | ||||
\(362\) | 26.8935 | − | 13.7029i | 1.41349 | − | 0.720209i | ||||
\(363\) | 0.757217 | + | 0.174817i | 0.0397436 | + | 0.00917552i | ||||
\(364\) | −14.2319 | − | 18.2159i | −0.745952 | − | 0.954775i | ||||
\(365\) | 12.9591 | + | 5.75601i | 0.678311 | + | 0.301283i | ||||
\(366\) | −33.3757 | − | 17.7462i | −1.74458 | − | 0.927609i | ||||
\(367\) | −0.0528637 | + | 0.271960i | −0.00275946 | + | 0.0141962i | −0.982981 | − | 0.183706i | \(-0.941191\pi\) |
0.980222 | + | 0.197902i | \(0.0634128\pi\) | |||||||
\(368\) | 33.7867 | + | 9.05311i | 1.76125 | + | 0.471926i | ||||
\(369\) | −35.7254 | + | 15.9060i | −1.85979 | + | 0.828032i | ||||
\(370\) | 29.7914 | − | 19.3844i | 1.54878 | − | 1.00774i | ||||
\(371\) | −13.6411 | − | 3.40111i | −0.708210 | − | 0.176577i | ||||
\(372\) | −55.3335 | + | 68.3312i | −2.86891 | + | 3.54281i | ||||
\(373\) | −6.67824 | + | 0.349992i | −0.345786 | + | 0.0181219i | −0.224439 | − | 0.974488i | \(-0.572055\pi\) |
−0.121347 | + | 0.992610i | \(0.538722\pi\) | |||||||
\(374\) | 25.3981 | + | 9.24415i | 1.31330 | + | 0.478004i | ||||
\(375\) | 22.8493 | + | 19.0695i | 1.17993 | + | 0.984745i | ||||
\(376\) | 56.8546 | − | 10.0250i | 2.93205 | − | 0.517000i | ||||
\(377\) | 1.25364 | − | 10.2101i | 0.0645660 | − | 0.525848i | ||||
\(378\) | 24.1004 | − | 20.9502i | 1.23959 | − | 1.07756i | ||||
\(379\) | 14.5748 | − | 10.5892i | 0.748659 | − | 0.543933i | −0.146752 | − | 0.989173i | \(-0.546882\pi\) |
0.895411 | + | 0.445241i | \(0.146882\pi\) | |||||||
\(380\) | −30.5769 | + | 36.0067i | −1.56856 | + | 1.84711i | ||||
\(381\) | 14.3634 | + | 10.4357i | 0.735861 | + | 0.534635i | ||||
\(382\) | −17.2110 | + | 1.50576i | −0.880589 | + | 0.0770416i | ||||
\(383\) | 8.30759 | + | 14.9873i | 0.424498 | + | 0.765814i | 0.998596 | − | 0.0529721i | \(-0.0168694\pi\) |
−0.574098 | + | 0.818787i | \(0.694647\pi\) | |||||||
\(384\) | 0.283362 | − | 2.01622i | 0.0144602 | − | 0.102890i | ||||
\(385\) | 21.4407 | − | 22.2420i | 1.09272 | − | 1.13356i | ||||
\(386\) | 2.09169 | − | 59.8981i | 0.106464 | − | 3.04873i | ||||
\(387\) | −6.03169 | − | 3.91703i | −0.306608 | − | 0.199114i | ||||
\(388\) | 0.710080 | − | 13.5491i | 0.0360489 | − | 0.687853i | ||||
\(389\) | 14.2328 | − | 22.7773i | 0.721632 | − | 1.15485i | −0.260283 | − | 0.965532i | \(-0.583816\pi\) |
0.981915 | − | 0.189321i | \(-0.0606286\pi\) | |||||||
\(390\) | 7.17061 | + | 16.0671i | 0.363098 | + | 0.813590i | ||||
\(391\) | 7.54223 | + | 8.37650i | 0.381427 | + | 0.423618i | ||||
\(392\) | 50.7447 | + | 62.6644i | 2.56299 | + | 3.16503i | ||||
\(393\) | −14.8524 | − | 31.8510i | −0.749202 | − | 1.60667i | ||||
\(394\) | −43.2100 | + | 41.7275i | −2.17689 | + | 2.10220i | ||||
\(395\) | −27.7478 | + | 22.5105i | −1.39614 | + | 1.13263i | ||||
\(396\) | −36.2355 | + | 53.7213i | −1.82090 | + | 2.69960i | ||||
\(397\) | −2.74825 | − | 3.16150i | −0.137931 | − | 0.158671i | 0.681563 | − | 0.731760i | \(-0.261301\pi\) |
−0.819493 | + | 0.573089i | \(0.805745\pi\) | |||||||
\(398\) | −27.1550 | + | 53.2946i | −1.36116 | + | 2.67142i | ||||
\(399\) | 14.0049 | + | 46.9448i | 0.701122 | + | 2.35018i | ||||
\(400\) | 25.8811 | − | 41.5822i | 1.29405 | − | 2.07911i | ||||
\(401\) | 4.86972 | − | 5.80351i | 0.243182 | − | 0.289814i | −0.630623 | − | 0.776089i | \(-0.717201\pi\) |
0.873805 | + | 0.486276i | \(0.161645\pi\) | |||||||
\(402\) | 61.8145 | + | 7.58986i | 3.08303 | + | 0.378548i | ||||
\(403\) | −7.69813 | + | 0.134371i | −0.383471 | + | 0.00669351i | ||||
\(404\) | 22.9627 | − | 11.1997i | 1.14244 | − | 0.557204i | ||||
\(405\) | 9.08734 | − | 4.64038i | 0.451553 | − | 0.230582i | ||||
\(406\) | −10.5151 | + | 100.045i | −0.521857 | + | 4.96514i | ||||
\(407\) | 5.14496 | + | 19.2012i | 0.255026 | + | 0.951770i | ||||
\(408\) | 41.0596 | − | 47.2337i | 2.03275 | − | 2.33841i | ||||
\(409\) | 10.3298 | + | 25.5671i | 0.510774 | + | 1.26421i | 0.933703 | + | 0.358048i | \(0.116558\pi\) |
−0.422929 | + | 0.906163i | \(0.638998\pi\) | |||||||
\(410\) | 7.84272 | + | 55.4471i | 0.387324 | + | 2.73834i | ||||
\(411\) | 27.0118 | + | 24.3215i | 1.33239 | + | 1.19969i | ||||
\(412\) | 0.309981 | + | 2.52459i | 0.0152716 | + | 0.124378i | ||||
\(413\) | 9.63674 | + | 31.5204i | 0.474193 | + | 1.55102i | ||||
\(414\) | −33.7071 | + | 17.9224i | −1.65661 | + | 0.880836i | ||||
\(415\) | −5.10553 | − | 12.6044i | −0.250620 | − | 0.618728i | ||||
\(416\) | 10.2846 | − | 6.42652i | 0.504243 | − | 0.315086i | ||||
\(417\) | 25.8333 | − | 4.09159i | 1.26506 | − | 0.200366i | ||||
\(418\) | −19.5626 | − | 31.7845i | −0.956836 | − | 1.55463i | ||||
\(419\) | 6.80155 | − | 9.36153i | 0.332278 | − | 0.457341i | −0.609889 | − | 0.792487i | \(-0.708786\pi\) |
0.942166 | + | 0.335146i | \(0.108786\pi\) | |||||||
\(420\) | −51.5718 | − | 110.341i | −2.51645 | − | 5.38407i | ||||
\(421\) | 9.76490 | + | 6.58651i | 0.475912 | + | 0.321007i | 0.773619 | − | 0.633650i | \(-0.218444\pi\) |
−0.297708 | + | 0.954657i | \(0.596222\pi\) | |||||||
\(422\) | −0.764773 | − | 43.8138i | −0.0372286 | − | 2.13282i | ||||
\(423\) | −19.0596 | + | 25.2930i | −0.926711 | + | 1.22979i | ||||
\(424\) | 8.48241 | − | 23.3052i | 0.411942 | − | 1.13180i | ||||
\(425\) | 14.2926 | − | 6.69562i | 0.693292 | − | 0.324785i | ||||
\(426\) | −20.7669 | − | 11.9898i | −1.00616 | − | 0.580905i | ||||
\(427\) | 5.15441 | + | 22.3262i | 0.249439 | + | 1.08044i | ||||
\(428\) | −10.1075 | + | 6.07321i | −0.488566 | + | 0.293560i | ||||
\(429\) | −9.78653 | + | 1.02861i | −0.472498 | + | 0.0496616i | ||||
\(430\) | −7.76651 | + | 6.76342i | −0.374534 | + | 0.326161i | ||||
\(431\) | −1.29326 | + | 0.872317i | −0.0622943 | + | 0.0420180i | −0.589945 | − | 0.807443i | \(-0.700851\pi\) |
0.527651 | + | 0.849461i | \(0.323073\pi\) | |||||||
\(432\) | 16.2409 | + | 23.1945i | 0.781393 | + | 1.11594i | ||||
\(433\) | −3.79842 | + | 1.30790i | −0.182540 | + | 0.0628536i | −0.415318 | − | 0.909676i | \(-0.636330\pi\) |
0.232778 | + | 0.972530i | \(0.425219\pi\) | |||||||
\(434\) | 75.2466 | − | 2.62767i | 3.61195 | − | 0.126132i | ||||
\(435\) | 18.4924 | − | 50.9479i | 0.886641 | − | 2.44276i | ||||
\(436\) | −8.09426 | + | 2.62999i | −0.387645 | + | 0.125953i | ||||
\(437\) | −0.980370 | − | 15.5338i | −0.0468974 | − | 0.743083i | ||||
\(438\) | 20.0525 | + | 39.3552i | 0.958144 | + | 1.88046i | ||||
\(439\) | 1.78074 | − | 4.40748i | 0.0849899 | − | 0.210357i | −0.878704 | − | 0.477367i | \(-0.841591\pi\) |
0.963694 | + | 0.267010i | \(0.0860356\pi\) | |||||||
\(440\) | 35.0684 | + | 41.7177i | 1.67182 | + | 1.98881i | ||||
\(441\) | −43.8034 | − | 6.15617i | −2.08588 | − | 0.293151i | ||||
\(442\) | 9.32944 | + | 0.162846i | 0.443756 | + | 0.00774580i | ||||
\(443\) | −28.4643 | + | 13.2731i | −1.35238 | + | 0.630626i | −0.957587 | − | 0.288143i | \(-0.906962\pi\) |
−0.394795 | + | 0.918769i | \(0.629184\pi\) | |||||||
\(444\) | 77.9421 | + | 8.19204i | 3.69897 | + | 0.388777i | ||||
\(445\) | 6.81180 | − | 19.8400i | 0.322910 | − | 0.940507i | ||||
\(446\) | 0.243161 | − | 0.975264i | 0.0115140 | − | 0.0461801i | ||||
\(447\) | −9.94920 | − | 16.5582i | −0.470581 | − | 0.783178i | ||||
\(448\) | −30.0899 | + | 19.5406i | −1.42161 | + | 0.923206i | ||||
\(449\) | −15.1708 | − | 26.2766i | −0.715954 | − | 1.24007i | −0.962590 | − | 0.270961i | \(-0.912659\pi\) |
0.246636 | − | 0.969108i | \(-0.420675\pi\) | |||||||
\(450\) | 10.2928 | + | 52.4551i | 0.485207 | + | 2.47276i | ||||
\(451\) | −30.8437 | − | 5.43858i | −1.45238 | − | 0.256093i | ||||
\(452\) | −4.74090 | + | 15.5068i | −0.222993 | + | 0.729378i | ||||
\(453\) | −10.8608 | − | 55.8741i | −0.510286 | − | 2.62519i | ||||
\(454\) | −1.27558 | + | 18.2417i | −0.0598660 | + | 0.856124i | ||||
\(455\) | 4.49879 | − | 9.67006i | 0.210907 | − | 0.453340i | ||||
\(456\) | −84.9440 | + | 15.9141i | −3.97787 | + | 0.745247i | ||||
\(457\) | 28.8139 | + | 28.8139i | 1.34786 | + | 1.34786i | 0.887987 | + | 0.459868i | \(0.152103\pi\) |
0.459868 | + | 0.887987i | \(0.347897\pi\) | |||||||
\(458\) | −29.2397 | + | 48.6630i | −1.36628 | + | 2.27387i | ||||
\(459\) | 0.318439 | + | 9.11891i | 0.0148635 | + | 0.425634i | ||||
\(460\) | 8.07915 | + | 37.8444i | 0.376692 | + | 1.76451i | ||||
\(461\) | −25.8926 | + | 3.63897i | −1.20594 | + | 0.169484i | −0.713369 | − | 0.700789i | \(-0.752832\pi\) |
−0.492571 | + | 0.870272i | \(0.663943\pi\) | |||||||
\(462\) | 95.5137 | − | 11.7276i | 4.44370 | − | 0.545617i | ||||
\(463\) | 17.8216 | − | 27.4429i | 0.828240 | − | 1.27538i | −0.130601 | − | 0.991435i | \(-0.541691\pi\) |
0.958841 | − | 0.283943i | \(-0.0916427\pi\) | |||||||
\(464\) | −87.2488 | − | 18.5453i | −4.05043 | − | 0.860944i | ||||
\(465\) | −39.6878 | − | 8.39914i | −1.84048 | − | 0.389501i | ||||
\(466\) | −32.3513 | + | 13.0708i | −1.49865 | + | 0.605492i | ||||
\(467\) | 11.6257 | + | 4.46269i | 0.537973 | + | 0.206508i | 0.612157 | − | 0.790736i | \(-0.290302\pi\) |
−0.0741843 | + | 0.997245i | \(0.523635\pi\) | |||||||
\(468\) | −5.78995 | + | 21.6084i | −0.267641 | + | 0.998849i | ||||
\(469\) | −21.1104 | − | 31.2974i | −0.974787 | − | 1.44518i | ||||
\(470\) | 27.3249 | + | 36.1945i | 1.26040 | + | 1.66953i | ||||
\(471\) | 11.6694 | − | 12.0840i | 0.537699 | − | 0.556803i | ||||
\(472\) | −57.0774 | + | 11.0947i | −2.62720 | + | 0.510676i | ||||
\(473\) | −2.25058 | − | 5.30203i | −0.103482 | − | 0.243788i | ||||
\(474\) | −111.297 | −5.11206 | ||||||||
\(475\) | −21.2111 | − | 5.00906i | −0.973230 | − | 0.229831i | ||||
\(476\) | −64.5925 | −2.96059 | ||||||||
\(477\) | 5.31597 | + | 12.5236i | 0.243402 | + | 0.573418i | ||||
\(478\) | −64.1227 | + | 12.4642i | −2.93290 | + | 0.570099i | ||||
\(479\) | −18.2809 | + | 18.9304i | −0.835275 | + | 0.864953i | −0.992454 | − | 0.122618i | \(-0.960871\pi\) |
0.157179 | + | 0.987570i | \(0.449760\pi\) | |||||||
\(480\) | 60.3981 | − | 20.8567i | 2.75678 | − | 0.951972i | ||||
\(481\) | 3.83755 | + | 5.68940i | 0.174977 | + | 0.259414i | ||||
\(482\) | 9.41981 | − | 35.1552i | 0.429061 | − | 1.60128i | ||||
\(483\) | 37.4663 | + | 14.3819i | 1.70477 | + | 0.654401i | ||||
\(484\) | 1.31188 | − | 0.530035i | 0.0596310 | − | 0.0240925i | ||||
\(485\) | 5.71637 | − | 2.55117i | 0.259567 | − | 0.115843i | ||||
\(486\) | 53.2832 | + | 11.3257i | 2.41697 | + | 0.513744i | ||||
\(487\) | 11.3721 | − | 17.5115i | 0.515318 | − | 0.793520i | −0.481225 | − | 0.876597i | \(-0.659808\pi\) |
0.996543 | + | 0.0830768i | \(0.0264747\pi\) | |||||||
\(488\) | −40.1203 | + | 4.92615i | −1.81616 | + | 0.222997i | ||||
\(489\) | 37.7385 | − | 5.30380i | 1.70659 | − | 0.239846i | ||||
\(490\) | −25.7120 | + | 57.8882i | −1.16155 | + | 2.61512i | ||||
\(491\) | 0.723586 | + | 20.7208i | 0.0326550 | + | 0.935116i | 0.899601 | + | 0.436714i | \(0.143858\pi\) |
−0.866946 | + | 0.498403i | \(0.833920\pi\) | |||||||
\(492\) | −63.5956 | + | 105.841i | −2.86711 | + | 4.77167i | ||||
\(493\) | −20.3249 | − | 20.3249i | −0.915386 | − | 0.915386i | ||||
\(494\) | −9.95804 | − | 8.17635i | −0.448033 | − | 0.367871i | ||||
\(495\) | −29.6773 | − | 3.61721i | −1.33390 | − | 0.162582i | ||||
\(496\) | −4.65705 | + | 66.5989i | −0.209108 | + | 2.99038i | ||||
\(497\) | 2.77354 | + | 14.2686i | 0.124410 | + | 0.640035i | ||||
\(498\) | 12.3850 | − | 40.5095i | 0.554985 | − | 1.81527i | ||||
\(499\) | 19.7621 | + | 3.48460i | 0.884675 | + | 0.155992i | 0.597483 | − | 0.801881i | \(-0.296167\pi\) |
0.287191 | + | 0.957873i | \(0.407278\pi\) | |||||||
\(500\) | 53.9919 | + | 4.57902i | 2.41459 | + | 0.204780i | ||||
\(501\) | 3.52068 | + | 6.09800i | 0.157292 | + | 0.272439i | ||||
\(502\) | 10.2458 | − | 6.65372i | 0.457293 | − | 0.296970i | ||||
\(503\) | −1.87834 | − | 3.12608i | −0.0837510 | − | 0.139385i | 0.812454 | − | 0.583025i | \(-0.198131\pi\) |
−0.896205 | + | 0.443640i | \(0.853687\pi\) | |||||||
\(504\) | 31.0841 | − | 124.672i | 1.38460 | − | 5.55332i | ||||
\(505\) | 9.42011 | + | 7.08548i | 0.419190 | + | 0.315300i | ||||
\(506\) | −30.4067 | − | 3.19587i | −1.35174 | − | 0.142074i | ||||
\(507\) | 28.2840 | − | 13.1890i | 1.25614 | − | 0.585746i | ||||
\(508\) | 32.3197 | + | 0.564143i | 1.43396 | + | 0.0250298i | ||||
\(509\) | 12.6240 | + | 1.77419i | 0.559551 | + | 0.0786398i | 0.413279 | − | 0.910605i | \(-0.364384\pi\) |
0.146272 | + | 0.989244i | \(0.453272\pi\) | |||||||
\(510\) | 47.7136 | + | 11.8514i | 2.11279 | + | 0.524789i | ||||
\(511\) | 10.0298 | − | 24.8246i | 0.443691 | − | 1.09817i | ||||
\(512\) | 18.5060 | + | 36.3201i | 0.817857 | + | 1.60514i | ||||
\(513\) | 7.47490 | − | 10.1429i | 0.330025 | − | 0.447819i | ||||
\(514\) | −27.6833 | + | 8.99485i | −1.22106 | + | 0.396746i | ||||
\(515\) | −0.972319 | + | 0.657093i | −0.0428455 | + | 0.0289550i | ||||
\(516\) | −22.6947 | + | 0.792515i | −0.999077 | + | 0.0348885i | ||||
\(517\) | −23.9823 | + | 8.25776i | −1.05474 | + | 0.363176i | ||||
\(518\) | −38.4932 | − | 54.9740i | −1.69129 | − | 2.41542i | ||||
\(519\) | −28.1977 | + | 19.0196i | −1.23774 | + | 0.834867i | ||||
\(520\) | 16.1359 | + | 9.67597i | 0.707607 | + | 0.424320i | ||||
\(521\) | 25.8733 | − | 2.71939i | 1.13353 | − | 0.119139i | 0.480871 | − | 0.876791i | \(-0.340321\pi\) |
0.652658 | + | 0.757653i | \(0.273654\pi\) | |||||||
\(522\) | 83.4459 | − | 50.1394i | 3.65233 | − | 2.19454i | ||||
\(523\) | −0.228517 | − | 0.989817i | −0.00999237 | − | 0.0432817i | 0.969134 | − | 0.246536i | \(-0.0792925\pi\) |
−0.979126 | + | 0.203255i | \(0.934848\pi\) | |||||||
\(524\) | −55.4129 | − | 31.9926i | −2.42072 | − | 1.39761i | ||||
\(525\) | 34.5183 | − | 44.3432i | 1.50650 | − | 1.93530i | ||||
\(526\) | 13.9891 | − | 38.4347i | 0.609953 | − | 1.67583i | ||||
\(527\) | −12.9472 | + | 17.1816i | −0.563990 | + | 0.748440i | ||||
\(528\) | 1.48917 | + | 85.3146i | 0.0648079 | + | 3.71284i | ||||
\(529\) | 8.49719 | + | 5.73143i | 0.369443 | + | 0.249193i | ||||
\(530\) | 19.3349 | − | 2.39143i | 0.839853 | − | 0.103877i | ||||
\(531\) | 18.7488 | − | 25.8055i | 0.813628 | − | 1.11986i | ||||
\(532\) | 69.9114 | + | 55.3887i | 3.03104 | + | 2.40141i | ||||
\(533\) | −10.6793 | + | 1.69143i | −0.462571 | + | 0.0732641i | ||||
\(534\) | 55.4124 | − | 34.6255i | 2.39793 | − | 1.49839i | ||||
\(535\) | −4.61631 | − | 2.87890i | −0.199580 | − | 0.124466i | ||||
\(536\) | 58.8020 | − | 31.2656i | 2.53986 | − | 1.35047i | ||||
\(537\) | −2.59240 | − | 8.47935i | −0.111870 | − | 0.365911i | ||||
\(538\) | 2.40253 | + | 19.5670i | 0.103580 | + | 0.843594i | ||||
\(539\) | −26.3268 | − | 23.7047i | −1.13397 | − | 1.02104i | ||||
\(540\) | −14.6819 | + | 27.6718i | −0.631809 | + | 1.19080i | ||||
\(541\) | 9.79630 | + | 24.2467i | 0.421176 | + | 1.04245i | 0.977397 | + | 0.211413i | \(0.0678064\pi\) |
−0.556221 | + | 0.831034i | \(0.687749\pi\) | |||||||
\(542\) | −9.35227 | + | 10.7586i | −0.401714 | + | 0.462120i | ||||
\(543\) | 7.94739 | + | 29.6601i | 0.341055 | + | 1.27284i | ||||
\(544\) | 3.54212 | − | 33.7010i | 0.151867 | − | 1.44492i | ||||
\(545\) | −2.77904 | − | 2.77412i | −0.119041 | − | 0.118830i | ||||
\(546\) | 29.8594 | − | 14.5634i | 1.27787 | − | 0.623257i | ||||
\(547\) | −36.9936 | + | 0.645725i | −1.58173 | + | 0.0276092i | −0.801544 | − | 0.597936i | \(-0.795988\pi\) |
−0.780188 | + | 0.625546i | \(0.784876\pi\) | |||||||
\(548\) | 65.6845 | + | 8.06505i | 2.80590 | + | 0.344522i | ||||
\(549\) | 14.2534 | − | 16.9865i | 0.608319 | − | 0.724967i | ||||
\(550\) | −16.6579 | + | 39.4378i | −0.710294 | + | 1.68163i | ||||
\(551\) | 4.56975 | + | 39.4273i | 0.194678 | + | 1.67966i | ||||
\(552\) | −32.1409 | + | 63.0800i | −1.36801 | + | 2.68486i | ||||
\(553\) | 44.2612 | + | 50.9167i | 1.88218 | + | 2.16520i | ||||
\(554\) | −1.31181 | + | 1.94484i | −0.0557336 | + | 0.0826284i | ||||
\(555\) | 12.9880 | + | 33.7455i | 0.551311 | + | 1.43242i | ||||
\(556\) | 34.2552 | − | 33.0799i | 1.45274 | − | 1.40290i | ||||
\(557\) | 9.79065 | + | 20.9961i | 0.414843 | + | 0.889634i | 0.997062 | + | 0.0766016i | \(0.0244070\pi\) |
−0.582219 | + | 0.813032i | \(0.697815\pi\) | |||||||
\(558\) | −45.8546 | − | 56.6257i | −1.94118 | − | 2.39716i | ||||
\(559\) | −1.33056 | − | 1.47774i | −0.0562766 | − | 0.0625015i | ||||
\(560\) | −80.1313 | − | 46.1691i | −3.38616 | − | 1.95100i | ||||
\(561\) | −14.5709 | + | 23.3184i | −0.615185 | + | 0.984502i | ||||
\(562\) | −0.689365 | + | 13.1539i | −0.0290791 | + | 0.554863i | ||||
\(563\) | −6.38979 | − | 4.14958i | −0.269298 | − | 0.174884i | 0.402925 | − | 0.915233i | \(-0.367994\pi\) |
−0.672223 | + | 0.740349i | \(0.734660\pi\) | |||||||
\(564\) | −3.48989 | + | 99.9373i | −0.146951 | + | 4.20812i | ||||
\(565\) | −7.36655 | + | 1.30566i | −0.309913 | + | 0.0549293i | ||||
\(566\) | 12.0432 | − | 85.6919i | 0.506214 | − | 3.60190i | ||||
\(567\) | −9.34040 | − | 16.8505i | −0.392260 | − | 0.707656i | ||||
\(568\) | −25.5448 | + | 2.23488i | −1.07183 | + | 0.0937734i | ||||
\(569\) | 11.9476 | + | 8.68044i | 0.500870 | + | 0.363903i | 0.809349 | − | 0.587328i | \(-0.199820\pi\) |
−0.308480 | + | 0.951231i | \(0.599820\pi\) | |||||||
\(570\) | −41.4799 | − | 53.7422i | −1.73740 | − | 2.25101i | ||||
\(571\) | 8.08688 | − | 5.87546i | 0.338425 | − | 0.245880i | −0.405572 | − | 0.914063i | \(-0.632928\pi\) |
0.743997 | + | 0.668183i | \(0.232928\pi\) | |||||||
\(572\) | −13.5216 | + | 11.7541i | −0.565366 | + | 0.491465i | ||||
\(573\) | 2.14199 | − | 17.4451i | 0.0894829 | − | 0.728780i | ||||
\(574\) | 104.130 | − | 18.3609i | 4.34628 | − | 0.766367i | ||||
\(575\) | −13.8552 | + | 11.2604i | −0.577801 | + | 0.469593i | ||||
\(576\) | 32.6268 | + | 11.8752i | 1.35945 | + | 0.494799i | ||||
\(577\) | −37.4695 | + | 1.96370i | −1.55988 | + | 0.0817497i | −0.812624 | − | 0.582789i | \(-0.801962\pi\) |
−0.747254 | + | 0.664538i | \(0.768628\pi\) | |||||||
\(578\) | −11.5854 | + | 14.3067i | −0.481888 | + | 0.595082i | ||||
\(579\) | 59.1622 | + | 14.7508i | 2.45870 | + | 0.613022i | ||||
\(580\) | −25.6250 | − | 95.2958i | −1.06402 | − | 3.95694i | ||||
\(581\) | −23.4577 | + | 10.4440i | −0.973190 | + | 0.433292i | ||||
\(582\) | 18.8344 | + | 5.04668i | 0.780713 | + | 0.209191i | ||||
\(583\) | −2.07908 | + | 10.6960i | −0.0861069 | + | 0.442981i | ||||
\(584\) | 41.7036 | + | 22.1742i | 1.72571 | + | 0.917575i | ||||
\(585\) | −10.0938 | + | 2.15486i | −0.417329 | + | 0.0890927i | ||||
\(586\) | 17.2445 | + | 22.0720i | 0.712365 | + | 0.911785i | ||||
\(587\) | −8.16054 | − | 1.88401i | −0.336821 | − | 0.0777613i | 0.0531548 | − | 0.998586i | \(-0.483072\pi\) |
−0.389976 | + | 0.920825i | \(0.627517\pi\) | |||||||
\(588\) | −124.445 | + | 63.4079i | −5.13202 | + | 2.61490i | ||||
\(589\) | 28.7467 | − | 7.49400i | 1.18449 | − | 0.308785i | ||||
\(590\) | −28.1528 | − | 35.9682i | −1.15903 | − | 1.48079i | ||||
\(591\) | −32.3834 | − | 51.8243i | −1.33208 | − | 2.13177i | ||||
\(592\) | 52.0459 | − | 28.8495i | 2.13907 | − | 1.18571i | ||||
\(593\) | −1.79102 | − | 1.25408i | −0.0735483 | − | 0.0514991i | 0.536224 | − | 0.844076i | \(-0.319850\pi\) |
−0.609772 | + | 0.792577i | \(0.708739\pi\) | |||||||
\(594\) | −17.1927 | − | 17.8036i | −0.705426 | − | 0.730490i | ||||
\(595\) | −13.5531 | − | 26.5413i | −0.555623 | − | 1.08809i | ||||
\(596\) | −32.1301 | − | 14.3052i | −1.31610 | − | 0.585966i | ||||
\(597\) | −47.2898 | − | 38.2945i | −1.93544 | − | 1.56729i | ||||
\(598\) | −10.2845 | + | 2.37437i | −0.420566 | + | 0.0970954i | ||||
\(599\) | −24.1712 | + | 20.2820i | −0.987607 | + | 0.828701i | −0.985220 | − | 0.171296i | \(-0.945205\pi\) |
−0.00238784 | + | 0.999997i | \(0.500760\pi\) | |||||||
\(600\) | 71.4321 | + | 68.7368i | 2.91620 | + | 2.80617i | ||||
\(601\) | 5.65590 | − | 3.26544i | 0.230709 | − | 0.133200i | −0.380190 | − | 0.924908i | \(-0.624141\pi\) |
0.610899 | + | 0.791708i | \(0.290808\pi\) | |||||||
\(602\) | 13.2619 | + | 14.2217i | 0.540516 | + | 0.579632i | ||||
\(603\) | −11.8942 | + | 34.5433i | −0.484370 | + | 1.40671i | ||||
\(604\) | −74.5472 | − | 71.9894i | −3.03328 | − | 2.92921i | ||||
\(605\) | 0.493058 | + | 0.427842i | 0.0200457 | + | 0.0173943i | ||||
\(606\) | 8.88260 | + | 35.6262i | 0.360831 | + | 1.44721i | ||||
\(607\) | −25.6632 | + | 25.6632i | −1.04164 | + | 1.04164i | −0.0425432 | + | 0.999095i | \(0.513546\pi\) |
−0.999095 | + | 0.0425432i | \(0.986454\pi\) | |||||||
\(608\) | −32.7328 | + | 33.4387i | −1.32749 | + | 1.35612i | ||||
\(609\) | −97.3304 | − | 31.6246i | −3.94403 | − | 1.28149i | ||||
\(610\) | −17.7793 | − | 26.3086i | −0.719865 | − | 1.06520i | ||||
\(611\) | −6.90016 | + | 5.39099i | −0.279150 | + | 0.218096i | ||||
\(612\) | 37.6188 | + | 49.9218i | 1.52065 | + | 2.01797i | ||||
\(613\) | 8.92958 | − | 2.73005i | 0.360662 | − | 0.110266i | −0.106795 | − | 0.994281i | \(-0.534059\pi\) |
0.467458 | + | 0.884015i | \(0.345170\pi\) | |||||||
\(614\) | 34.5666 | + | 1.20709i | 1.39499 | + | 0.0487143i | ||||
\(615\) | −56.8342 | − | 3.92361i | −2.29178 | − | 0.158215i | ||||
\(616\) | 76.4726 | − | 68.8562i | 3.08117 | − | 2.77430i | ||||
\(617\) | −10.6197 | − | 9.23160i | −0.427535 | − | 0.371650i | 0.415425 | − | 0.909628i | \(-0.363633\pi\) |
−0.842959 | + | 0.537977i | \(0.819189\pi\) | |||||||
\(618\) | −3.64155 | − | 0.318594i | −0.146485 | − | 0.0128157i | ||||
\(619\) | 2.61453 | + | 5.87234i | 0.105087 | + | 0.236029i | 0.958434 | − | 0.285314i | \(-0.0920979\pi\) |
−0.853347 | + | 0.521343i | \(0.825431\pi\) | |||||||
\(620\) | −67.9621 | + | 28.9193i | −2.72942 | + | 1.16143i | ||||
\(621\) | −2.84502 | − | 9.92176i | −0.114167 | − | 0.398146i | ||||
\(622\) | 43.3270 | + | 14.9187i | 1.73725 | + | 0.598184i | ||||
\(623\) | −37.8772 | − | 11.5802i | −1.51752 | − | 0.463952i | ||||
\(624\) | 10.0751 | + | 27.6810i | 0.403326 | + | 1.10813i | ||||
\(625\) | 9.44731 | + | 23.1462i | 0.377892 | + | 0.925850i | ||||
\(626\) | − | 27.3536i | − | 1.09327i | ||||||
\(627\) | 35.7665 | − | 12.7438i | 1.42838 | − | 0.508938i | ||||
\(628\) | 4.78458 | − | 30.2086i | 0.190926 | − | 1.20546i | ||||
\(629\) | 19.1292 | + | 1.33764i | 0.762730 | + | 0.0533353i | ||||
\(630\) | 98.3261 | − | 22.7922i | 3.91740 | − | 0.908063i | ||||
\(631\) | −7.25045 | + | 14.8656i | −0.288636 | + | 0.591791i | −0.993009 | − | 0.118039i | \(-0.962339\pi\) |
0.704373 | + | 0.709830i | \(0.251228\pi\) | |||||||
\(632\) | −97.4916 | + | 68.2644i | −3.87801 | + | 2.71541i | ||||
\(633\) | 43.7609 | + | 8.50625i | 1.73934 | + | 0.338093i | ||||
\(634\) | −8.64204 | − | 40.6576i | −0.343219 | − | 1.61472i | ||||
\(635\) | 6.54967 | + | 13.3986i | 0.259916 | + | 0.531709i | ||||
\(636\) | 36.4306 | + | 22.7643i | 1.44457 | + | 0.902665i | ||||
\(637\) | −11.2579 | − | 4.77869i | −0.446054 | − | 0.189339i | ||||
\(638\) | 77.8597 | + | 4.08045i | 3.08250 | + | 0.161547i | ||||
\(639\) | 9.41251 | − | 10.4537i | 0.372353 | − | 0.413540i | ||||
\(640\) | 1.00407 | − | 1.38456i | 0.0396892 | − | 0.0547294i | ||||
\(641\) | 0.0858205 | − | 0.161405i | 0.00338971 | − | 0.00637511i | −0.881247 | − | 0.472656i | \(-0.843295\pi\) |
0.884637 | + | 0.466281i | \(0.154406\pi\) | |||||||
\(642\) | −5.51726 | − | 16.0233i | −0.217749 | − | 0.632388i | ||||
\(643\) | −6.89410 | + | 14.7845i | −0.271877 | + | 0.583042i | −0.994081 | − | 0.108638i | \(-0.965351\pi\) |
0.722205 | + | 0.691680i | \(0.243129\pi\) | |||||||
\(644\) | 70.8967 | − | 17.6765i | 2.79372 | − | 0.696553i | ||||
\(645\) | −5.08755 | − | 9.15902i | −0.200322 | − | 0.360636i | ||||
\(646\) | −35.1342 | + | 7.86068i | −1.38234 | + | 0.309274i | ||||
\(647\) | 10.2360 | + | 1.62122i | 0.402419 | + | 0.0637369i | 0.354364 | − | 0.935108i | \(-0.384698\pi\) |
0.0480556 | + | 0.998845i | \(0.484698\pi\) | |||||||
\(648\) | 31.2855 | − | 13.2799i | 1.22901 | − | 0.521684i | ||||
\(649\) | 24.0054 | − | 8.73725i | 0.942294 | − | 0.342967i | ||||
\(650\) | −1.00484 | + | 14.7456i | −0.0394130 | + | 0.578368i | ||||
\(651\) | −13.3010 | + | 75.4336i | −0.521307 | + | 2.95648i | ||||
\(652\) | 50.7449 | − | 47.3204i | 1.98732 | − | 1.85321i | ||||
\(653\) | 26.1720 | − | 10.0465i | 1.02419 | − | 0.393150i | 0.212452 | − | 0.977171i | \(-0.431855\pi\) |
0.811738 | + | 0.584022i | \(0.198522\pi\) | |||||||
\(654\) | −1.27852 | − | 12.1643i | −0.0499941 | − | 0.475662i | ||||
\(655\) | 1.51889 | − | 29.4822i | 0.0593478 | − | 1.15196i | ||||
\(656\) | 6.54006 | + | 93.5273i | 0.255347 | + | 3.65163i | ||||
\(657\) | −25.0276 | + | 6.70613i | −0.976420 | + | 0.261631i | ||||
\(658\) | 66.5472 | − | 53.8888i | 2.59428 | − | 2.10081i | ||||
\(659\) | 6.90273 | − | 8.83509i | 0.268892 | − | 0.344166i | −0.634546 | − | 0.772885i | \(-0.718813\pi\) |
0.903438 | + | 0.428719i | \(0.141035\pi\) | |||||||
\(660\) | −83.3101 | + | 44.3916i | −3.24284 | + | 1.72794i | ||||
\(661\) | 14.6432 | + | 27.5399i | 0.569555 | + | 1.07118i | 0.986733 | + | 0.162352i | \(0.0519079\pi\) |
−0.417178 | + | 0.908825i | \(0.636981\pi\) | |||||||
\(662\) | −10.2465 | + | 10.9881i | −0.398242 | + | 0.427063i | ||||
\(663\) | −2.13536 | + | 9.24928i | −0.0829307 | + | 0.359212i | ||||
\(664\) | −13.9978 | − | 43.0809i | −0.543221 | − | 1.67186i | ||||
\(665\) | −8.09026 | + | 40.3487i | −0.313727 | + | 1.56466i | ||||
\(666\) | −20.0694 | + | 61.7673i | −0.777673 | + | 2.39343i | ||||
\(667\) | 27.8707 | + | 16.7464i | 1.07916 | + | 0.648423i | ||||
\(668\) | 11.6189 | + | 5.41799i | 0.449549 | + | 0.209628i | ||||
\(669\) | 0.919052 | + | 0.448252i | 0.0355326 | + | 0.0173304i | ||||
\(670\) | 42.8806 | + | 29.9687i | 1.65662 | + | 1.15779i | ||||
\(671\) | 17.0711 | − | 4.89505i | 0.659021 | − | 0.188971i | ||||
\(672\) | −43.2372 | − | 112.637i | −1.66791 | − | 4.34506i | ||||
\(673\) | 16.5919 | + | 25.5493i | 0.639571 | + | 0.984852i | 0.998670 | + | 0.0515530i | \(0.0164171\pi\) |
−0.359100 | + | 0.933299i | \(0.616916\pi\) | |||||||
\(674\) | −48.8420 | − | 58.2077i | −1.88132 | − | 2.24208i | ||||
\(675\) | −14.4510 | − | 0.226613i | −0.556221 | − | 0.00872236i | ||||
\(676\) | 28.4098 | − | 49.2072i | 1.09268 | − | 1.89258i | ||||
\(677\) | 0.833979 | + | 15.9133i | 0.0320524 | + | 0.611597i | 0.966683 | + | 0.255976i | \(0.0823970\pi\) |
−0.934631 | + | 0.355620i | \(0.884270\pi\) | |||||||
\(678\) | −20.3820 | − | 11.2979i | −0.782766 | − | 0.433894i | ||||
\(679\) | −5.18139 | − | 10.6234i | −0.198843 | − | 0.407689i | ||||
\(680\) | 49.0640 | − | 18.8838i | 1.88152 | − | 0.724162i | ||||
\(681\) | −17.8825 | − | 5.12772i | −0.685258 | − | 0.196494i | ||||
\(682\) | −5.08599 | − | 58.1331i | −0.194753 | − | 2.22603i | ||||
\(683\) | −4.45218 | − | 28.1099i | −0.170358 | − | 1.07560i | −0.913612 | − | 0.406588i | \(-0.866719\pi\) |
0.743254 | − | 0.669010i | \(-0.233281\pi\) | |||||||
\(684\) | 2.09194 | − | 86.2911i | 0.0799872 | − | 3.29942i | ||||
\(685\) | 10.4683 | + | 28.6822i | 0.399972 | + | 1.09589i | ||||
\(686\) | 39.1900 | + | 15.8338i | 1.49628 | + | 0.604537i | ||||
\(687\) | −42.2399 | − | 39.3894i | −1.61155 | − | 1.50280i | ||||
\(688\) | −13.7704 | + | 10.3767i | −0.524992 | + | 0.395610i | ||||
\(689\) | 0.523522 | + | 3.72506i | 0.0199446 | + | 0.141913i | ||||
\(690\) | −55.6136 | + | 0.0493050i | −2.11717 | + | 0.00187701i | ||||
\(691\) | −20.8603 | + | 4.43399i | −0.793563 | + | 0.168677i | −0.586819 | − | 0.809718i | \(-0.699620\pi\) |
−0.206744 | + | 0.978395i | \(0.566287\pi\) | |||||||
\(692\) | −22.1923 | + | 57.8128i | −0.843623 | + | 2.19771i | ||||
\(693\) | −4.92000 | + | 56.2359i | −0.186895 | + | 2.13622i | ||||
\(694\) | −16.9540 | + | 1.18554i | −0.643566 | + | 0.0450025i | ||||
\(695\) | 20.7802 | + | 7.13460i | 0.788238 | + | 0.270631i | ||||
\(696\) | 73.4308 | − | 164.928i | 2.78339 | − | 6.25159i | ||||
\(697\) | −14.6473 | + | 26.4244i | −0.554805 | + | 1.00089i | ||||
\(698\) | 5.86378 | + | 4.41868i | 0.221947 | + | 0.167249i | ||||
\(699\) | −6.16394 | − | 34.9574i | −0.233142 | − | 1.32221i | ||||
\(700\) | 5.17344 | − | 102.181i | 0.195537 | − | 3.86209i | ||||
\(701\) | −12.9975 | − | 10.9062i | −0.490911 | − | 0.411923i | 0.363442 | − | 0.931617i | \(-0.381602\pi\) |
−0.854352 | + | 0.519694i | \(0.826046\pi\) | |||||||
\(702\) | −7.61309 | − | 3.87906i | −0.287337 | − | 0.146406i | ||||
\(703\) | −19.5573 | − | 17.8512i | −0.737618 | − | 0.673272i | ||||
\(704\) | 16.3446 | + | 22.4965i | 0.616012 | + | 0.847868i | ||||
\(705\) | −41.7968 | + | 19.5353i | −1.57416 | + | 0.735742i | ||||
\(706\) | −8.09298 | + | 28.2236i | −0.304583 | + | 1.06221i | ||||
\(707\) | 12.7659 | − | 18.2316i | 0.480111 | − | 0.685669i | ||||
\(708\) | 1.75772 | − | 100.700i | 0.0660593 | − | 3.78453i | ||||
\(709\) | 15.8442 | + | 12.3788i | 0.595041 | + | 0.464897i | 0.867614 | − | 0.497238i | \(-0.165652\pi\) |
−0.272573 | + | 0.962135i | \(0.587875\pi\) | |||||||
\(710\) | −10.6894 | − | 17.0729i | −0.401166 | − | 0.640735i | ||||
\(711\) | 13.5743 | − | 63.8622i | 0.509077 | − | 2.39502i | ||||
\(712\) | 27.3012 | − | 64.3177i | 1.02316 | − | 2.41041i | ||||
\(713\) | 9.50892 | − | 22.4016i | 0.356112 | − | 0.838947i | ||||
\(714\) | 19.3003 | − | 90.8006i | 0.722294 | − | 3.39813i | ||||
\(715\) | −7.66697 | − | 3.08975i | −0.286728 | − | 0.115550i | ||||
\(716\) | −12.7213 | − | 9.93897i | −0.475417 | − | 0.371437i | ||||
\(717\) | 1.15980 | − | 66.4448i | 0.0433135 | − | 2.48143i | ||||
\(718\) | 12.2685 | − | 17.5213i | 0.457858 | − | 0.653888i | ||||
\(719\) | −2.94572 | + | 10.2730i | −0.109857 | + | 0.383117i | −0.996910 | − | 0.0785504i | \(-0.974971\pi\) |
0.887053 | + | 0.461667i | \(0.152749\pi\) | |||||||
\(720\) | 10.9857 | + | 88.8203i | 0.409413 | + | 3.31014i | ||||
\(721\) | 1.30243 | + | 1.79265i | 0.0485052 | + | 0.0667616i | ||||
\(722\) | 44.7680 | + | 21.6200i | 1.66609 | + | 0.804612i | ||||
\(723\) | 32.9905 | + | 16.8095i | 1.22693 | + | 0.625152i | ||||
\(724\) | 42.8268 | + | 35.9359i | 1.59164 | + | 1.33555i | ||||
\(725\) | 33.7806 | − | 30.5248i | 1.25458 | − | 1.13366i | ||||
\(726\) | 0.353103 | + | 2.00255i | 0.0131049 | + | 0.0743215i | ||||
\(727\) | 32.3988 | + | 24.4142i | 1.20160 | + | 0.905473i | 0.997300 | − | 0.0734344i | \(-0.0233959\pi\) |
0.204303 | + | 0.978908i | \(0.434507\pi\) | |||||||
\(728\) | 17.2231 | − | 31.0712i | 0.638329 | − | 1.15158i | ||||
\(729\) | −16.9724 | + | 38.1205i | −0.628606 | + | 1.41187i | ||||
\(730\) | −0.614647 | + | 37.0979i | −0.0227491 | + | 1.37306i | ||||
\(731\) | −5.54277 | + | 0.387588i | −0.205007 | + | 0.0143355i | ||||
\(732\) | 6.10221 | − | 69.7486i | 0.225544 | − | 2.57798i | ||||
\(733\) | −3.16606 | + | 8.24788i | −0.116941 | + | 0.304642i | −0.979541 | − | 0.201245i | \(-0.935501\pi\) |
0.862600 | + | 0.505887i | \(0.168835\pi\) | |||||||
\(734\) | −0.709084 | + | 0.150721i | −0.0261728 | + | 0.00556320i | ||||
\(735\) | −52.1661 | − | 37.8303i | −1.92417 | − | 1.39539i | ||||
\(736\) | 5.33487 | + | 37.9595i | 0.196646 | + | 1.39921i | ||||
\(737\) | −23.3674 | + | 17.6086i | −0.860751 | + | 0.648622i | ||||
\(738\) | −74.8358 | − | 69.7855i | −2.75474 | − | 2.56884i | ||||
\(739\) | −22.9770 | − | 9.28330i | −0.845222 | − | 0.341492i | −0.0891805 | − | 0.996015i | \(-0.528425\pi\) |
−0.756042 | + | 0.654524i | \(0.772869\pi\) | |||||||
\(740\) | 54.6109 | + | 36.7651i | 2.00754 | + | 1.35151i | ||||
\(741\) | 10.2426 | − | 8.17982i | 0.376270 | − | 0.300493i | ||||
\(742\) | −5.75457 | − | 36.3329i | −0.211257 | − | 1.33382i | ||||
\(743\) | 4.16188 | + | 47.5705i | 0.152684 | + | 1.74519i | 0.556947 | + | 0.830548i | \(0.311973\pi\) |
−0.404263 | + | 0.914643i | \(0.632472\pi\) | |||||||
\(744\) | −129.891 | − | 37.2455i | −4.76202 | − | 1.36549i | ||||
\(745\) | −0.863619 | − | 16.2039i | −0.0316405 | − | 0.593667i | ||||
\(746\) | −7.67070 | − | 15.7273i | −0.280844 | − | 0.575816i | ||||
\(747\) | 21.7337 | + | 12.0472i | 0.795196 | + | 0.440784i | ||||
\(748\) | 2.62006 | + | 49.9936i | 0.0957987 | + | 1.82795i | ||||
\(749\) | −5.13625 | + | 8.89625i | −0.187675 | + | 0.325062i | ||||
\(750\) | −22.5697 | + | 74.5307i | −0.824130 | + | 2.72148i | ||||
\(751\) | 0.539914 | + | 0.643444i | 0.0197017 | + | 0.0234796i | 0.775805 | − | 0.630972i | \(-0.217344\pi\) |
−0.756104 | + | 0.654452i | \(0.772899\pi\) | |||||||
\(752\) | 41.3534 | + | 63.6786i | 1.50800 | + | 2.32212i | ||||
\(753\) | 4.45396 | + | 11.6030i | 0.162311 | + | 0.422836i | ||||
\(754\) | 25.8736 | − | 7.41913i | 0.942261 | − | 0.270189i | ||||
\(755\) | 13.9388 | − | 45.7368i | 0.507285 | − | 1.66453i | ||||
\(756\) | 53.1619 | + | 25.9288i | 1.93348 | + | 0.943021i | ||||
\(757\) | −16.1933 | − | 7.55106i | −0.588556 | − | 0.274448i | 0.105442 | − | 0.994425i | \(-0.466374\pi\) |
−0.693998 | + | 0.719977i | \(0.744152\pi\) | |||||||
\(758\) | 40.4061 | + | 24.2784i | 1.46761 | + | 0.881832i | ||||
\(759\) | 9.61167 | − | 29.5817i | 0.348882 | − | 1.07375i | ||||
\(760\) | −69.2973 | − | 21.6341i | −2.51368 | − | 0.784750i | ||||
\(761\) | 4.92938 | + | 15.1711i | 0.178690 | + | 0.549951i | 0.999783 | − | 0.0208435i | \(-0.00663518\pi\) |
−0.821093 | + | 0.570795i | \(0.806635\pi\) | |||||||
\(762\) | −10.4502 | + | 45.2647i | −0.378570 | + | 1.63977i | ||||
\(763\) | −5.05652 | + | 5.42245i | −0.183058 | + | 0.196306i | ||||
\(764\) | −15.0233 | − | 28.2547i | −0.543524 | − | 1.02222i | ||||
\(765\) | −12.6197 | + | 25.9325i | −0.456265 | + | 0.937591i | ||||
\(766\) | −27.6046 | + | 35.3322i | −0.997393 | + | 1.27660i | ||||
\(767\) | 6.85381 | − | 5.55011i | 0.247477 | − | 0.200403i | ||||
\(768\) | −38.5532 | + | 10.3303i | −1.39117 | + | 0.372762i | ||||
\(769\) | −0.270712 | − | 3.87136i | −0.00976211 | − | 0.139605i | −1.00000 | 0.000216863i | \(-0.999931\pi\) | |
0.990238 | − | 0.139388i | \(-0.0445135\pi\) | |||||||
\(770\) | 75.4922 | + | 28.9020i | 2.72055 | + | 1.04155i | ||||
\(771\) | −3.09534 | − | 29.4502i | −0.111476 | − | 1.06062i | ||||
\(772\) | 103.639 | − | 39.7834i | 3.73006 | − | 1.43184i | ||||
\(773\) | 27.8921 | − | 26.0098i | 1.00321 | − | 0.935506i | 0.00528853 | − | 0.999986i | \(-0.498317\pi\) |
0.997919 | + | 0.0644799i | \(0.0205388\pi\) | |||||||
\(774\) | 3.26778 | − | 18.5325i | 0.117458 | − | 0.666137i | ||||
\(775\) | −26.1432 | − | 21.8578i | −0.939090 | − | 0.785157i | ||||
\(776\) | 19.5935 | − | 7.13146i | 0.703366 | − | 0.256004i | ||||
\(777\) | 62.8465 | − | 26.6767i | 2.25460 | − | 0.957023i | ||||
\(778\) | 69.4122 | + | 10.9938i | 2.48855 | + | 0.394148i | ||||
\(779\) | 38.5125 | − | 16.0401i | 1.37986 | − | 0.574696i | ||||
\(780\) | −22.2047 | + | 23.8540i | −0.795055 | + | 0.854109i | ||||
\(781\) | 10.9312 | − | 2.72545i | 0.391149 | − | 0.0975243i | ||||
\(782\) | −12.4644 | + | 26.7300i | −0.445727 | + | 0.955865i | ||||
\(783\) | 8.56925 | + | 24.8869i | 0.306240 | + | 0.889385i | ||||
\(784\) | −49.7869 | + | 93.6356i | −1.77810 | + | 3.34413i | ||||
\(785\) | 13.4167 | − | 4.37252i | 0.478864 | − | 0.156062i | ||||
\(786\) | 61.5309 | − | 68.3370i | 2.19473 | − | 2.43750i | ||||
\(787\) | 51.8177 | + | 2.71565i | 1.84710 | + | 0.0968025i | 0.943460 | − | 0.331487i | \(-0.107550\pi\) |
0.903642 | + | 0.428289i | \(0.140884\pi\) | |||||||
\(788\) | −102.417 | − | 43.4734i | −3.64845 | − | 1.54868i | ||||
\(789\) | 35.2874 | + | 22.0500i | 1.25627 | + | 0.785002i | ||||
\(790\) | −82.5872 | − | 43.8185i | −2.93832 | − | 1.55899i | ||||
\(791\) | 2.93698 | + | 13.8174i | 0.104427 | + | 0.491291i | ||||
\(792\) | −97.7548 | − | 19.0016i | −3.47357 | − | 0.675193i | ||||
\(793\) | 5.02216 | − | 3.51655i | 0.178342 | − | 0.124876i | ||||
\(794\) | 4.80496 | − | 9.85163i | 0.170522 | − | 0.349621i | ||||
\(795\) | −1.70991 | + | 19.7459i | −0.0606442 | + | 0.700316i | ||||
\(796\) | −110.519 | − | 7.72827i | −3.91726 | − | 0.273921i | ||||
\(797\) | 4.46710 | − | 28.2042i | 0.158233 | − | 0.999044i | −0.772943 | − | 0.634475i | \(-0.781216\pi\) |
0.931176 | − | 0.364569i | \(-0.118784\pi\) | |||||||
\(798\) | −98.7520 | + | 81.7274i | −3.49578 | + | 2.89312i | ||||
\(799\) | 24.4675i | 0.865598i | ||||||||
\(800\) | 53.0292 | + | 8.30264i | 1.87487 | + | 0.293543i | ||||
\(801\) | 13.1097 | + | 36.0186i | 0.463209 | + | 1.27265i | ||||
\(802\) | 18.9569 | + | 5.79572i | 0.669393 | + | 0.204654i | ||||
\(803\) | −19.6207 | − | 6.75595i | −0.692399 | − | 0.238412i | ||||
\(804\) | 31.7960 | + | 110.886i | 1.12136 | + | 3.91064i | ||||
\(805\) | 22.1392 | + | 25.4227i | 0.780304 | + | 0.896032i | ||||
\(806\) | −8.19407 | − | 18.4042i | −0.288624 | − | 0.648259i | ||||
\(807\) | −19.9793 | − | 1.74796i | −0.703305 | − | 0.0615312i | ||||
\(808\) | 29.6321 | + | 25.7588i | 1.04245 | + | 0.906191i | ||||
\(809\) | 14.2263 | − | 12.8094i | 0.500170 | − | 0.450355i | −0.380019 | − | 0.924979i | \(-0.624082\pi\) |
0.880189 | + | 0.474624i | \(0.157416\pi\) | |||||||
\(810\) | 20.4675 | + | 17.1433i | 0.719153 | + | 0.602356i | ||||
\(811\) | −34.9226 | − | 1.21952i | −1.22630 | − | 0.0428232i | −0.585589 | − | 0.810608i | \(-0.699137\pi\) |
−0.640708 | + | 0.767785i | \(0.721359\pi\) | |||||||
\(812\) | −178.185 | + | 54.4767i | −6.25308 | + | 1.91176i | ||||
\(813\) | −8.72769 | − | 11.5820i | −0.306093 | − | 0.406200i | ||||
\(814\) | −40.9876 | + | 32.0230i | −1.43662 | + | 1.12241i | ||||
\(815\) | 30.0916 | + | 10.9223i | 1.05406 | + | 0.382590i | ||||
\(816\) | 78.2827 | + | 25.4356i | 2.74044 | + | 0.890423i | ||||
\(817\) | 6.33155 | + | 4.33347i | 0.221513 | + | 0.151609i | ||||
\(818\) | −51.0194 | + | 51.0194i | −1.78385 | + | 1.78385i | ||||
\(819\) | 4.71467 | + | 18.9095i | 0.164744 | + | 0.660751i | ||||
\(820\) | −88.8607 | + | 53.5002i | −3.10315 | + | 1.86831i | ||||
\(821\) | −27.9436 | − | 26.9848i | −0.975238 | − | 0.941777i | 0.0230807 | − | 0.999734i | \(-0.492653\pi\) |
−0.998319 | + | 0.0579568i | \(0.981541\pi\) | |||||||
\(822\) | −30.9639 | + | 89.9258i | −1.07999 | + | 3.13652i | ||||
\(823\) | −18.8661 | − | 20.2314i | −0.657630 | − | 0.705222i | 0.311922 | − | 0.950108i | \(-0.399027\pi\) |
−0.969552 | + | 0.244886i | \(0.921249\pi\) | |||||||
\(824\) | −3.38524 | + | 1.95447i | −0.117931 | + | 0.0680872i | ||||
\(825\) | −35.7211 | − | 24.9179i | −1.24365 | − | 0.867531i | ||||
\(826\) | −66.0669 | + | 55.4367i | −2.29876 | + | 1.92889i | ||||
\(827\) | 39.8166 | − | 9.19238i | 1.38456 | − | 0.319651i | 0.533979 | − | 0.845497i | \(-0.320696\pi\) |
0.850579 | + | 0.525847i | \(0.176252\pi\) | |||||||
\(828\) | −54.9520 | − | 44.4993i | −1.90971 | − | 1.54646i | ||||
\(829\) | 41.3158 | + | 18.3950i | 1.43496 | + | 0.638885i | 0.969256 | − | 0.246056i | \(-0.0791348\pi\) |
0.465703 | + | 0.884941i | \(0.345802\pi\) | |||||||
\(830\) | 25.1390 | − | 25.1836i | 0.872588 | − | 0.874136i | ||||
\(831\) | −1.65784 | − | 1.71675i | −0.0575100 | − | 0.0595533i | ||||
\(832\) | 7.86372 | + | 5.50624i | 0.272625 | + | 0.190894i | ||||
\(833\) | −29.8891 | + | 16.5678i | −1.03560 | + | 0.574040i | ||||
\(834\) | 36.2664 | + | 58.0383i | 1.25580 | + | 2.00970i | ||||
\(835\) | 0.211666 | + | 5.91107i | 0.00732502 | + | 0.204561i | ||||
\(836\) | 40.0342 | − | 56.3571i | 1.38461 | − | 1.94915i | ||||
\(837\) | 17.5531 | − | 8.94373i | 0.606722 | − | 0.309140i | ||||
\(838\) | 29.5018 | + | 6.81102i | 1.01912 | + | 0.235283i | ||||
\(839\) | −23.4543 | − | 30.0202i | −0.809734 | − | 1.03641i | −0.998520 | − | 0.0543938i | \(-0.982677\pi\) |
0.188786 | − | 0.982018i | \(-0.439545\pi\) | |||||||
\(840\) | 125.124 | − | 139.213i | 4.31720 | − | 4.80330i | ||||
\(841\) | −47.6046 | − | 25.3118i | −1.64154 | − | 0.872821i | ||||
\(842\) | −5.88068 | + | 30.2535i | −0.202661 | + | 1.04260i | ||||
\(843\) | −12.9436 | − | 3.46823i | −0.445801 | − | 0.119452i | ||||
\(844\) | 74.1486 | − | 33.0131i | 2.55230 | − | 1.13636i | ||||
\(845\) | 26.1805 | + | 1.34879i | 0.900635 | + | 0.0463997i | ||||
\(846\) | −80.4064 | − | 20.0476i | −2.76443 | − | 0.689249i | ||||
\(847\) | 0.775707 | − | 0.957919i | 0.0266536 | − | 0.0329145i | ||||
\(848\) | 32.5731 | − | 1.70709i | 1.11857 | − | 0.0586216i | ||||
\(849\) | 82.7246 | + | 30.1093i | 2.83910 | + | 1.03335i | ||||
\(850\) | 30.7394 | + | 27.5793i | 1.05435 | + | 0.945964i | ||||
\(851\) | −21.3622 | + | 3.76673i | −0.732287 | + | 0.129122i | ||||
\(852\) | 5.41290 | − | 44.0845i | 0.185443 | − | 1.51031i | ||||
\(853\) | 8.03408 | − | 6.98392i | 0.275082 | − | 0.239125i | −0.507531 | − | 0.861633i | \(-0.669442\pi\) |
0.782613 | + | 0.622508i | \(0.213886\pi\) | |||||||
\(854\) | −48.5047 | + | 35.2407i | −1.65980 | + | 1.20591i | ||||
\(855\) | 35.8962 | − | 17.2464i | 1.22762 | − | 0.589815i | ||||
\(856\) | −14.6608 | − | 10.6517i | −0.501094 | − | 0.364066i | ||||
\(857\) | 52.4272 | − | 4.58679i | 1.79088 | − | 0.156682i | 0.857245 | − | 0.514909i | \(-0.172174\pi\) |
0.933634 | + | 0.358228i | \(0.116619\pi\) | |||||||
\(858\) | −12.4831 | − | 22.5200i | −0.426164 | − | 0.768821i | ||||
\(859\) | −5.69350 | + | 40.5113i | −0.194260 | + | 1.38223i | 0.612089 | + | 0.790789i | \(0.290329\pi\) |
−0.806349 | + | 0.591440i | \(0.798560\pi\) | |||||||
\(860\) | −17.1524 | − | 8.34695i | −0.584891 | − | 0.284629i | ||||
\(861\) | −3.75408 | + | 107.503i | −0.127939 | + | 3.66369i | ||||
\(862\) | −3.42325 | − | 2.22309i | −0.116596 | − | 0.0757187i | ||||
\(863\) | 1.31515 | − | 25.0946i | 0.0447684 | − | 0.854231i | −0.880297 | − | 0.474423i | \(-0.842657\pi\) |
0.925065 | − | 0.379808i | \(-0.124010\pi\) | |||||||
\(864\) | −16.4436 | + | 26.3152i | −0.559422 | + | 0.895263i | ||||
\(865\) | −28.4119 | + | 3.01169i | −0.966035 | + | 0.102400i | ||||
\(866\) | −7.03361 | − | 7.81162i | −0.239012 | − | 0.265450i | ||||
\(867\) | −11.7862 | − | 14.5547i | −0.400279 | − | 0.494303i | ||||
\(868\) | 58.9379 | + | 126.393i | 2.00048 | + | 4.29005i | ||||
\(869\) | 37.6134 | − | 36.3228i | 1.27595 | − | 1.23217i | ||||
\(870\) | 141.618 | − | 7.54780i | 4.80131 | − | 0.255895i | ||||
\(871\) | −5.64847 | + | 8.37420i | −0.191391 | + | 0.283749i | ||||
\(872\) | −8.58091 | − | 9.87121i | −0.290586 | − | 0.334281i | ||||
\(873\) | −5.19290 | + | 10.1916i | −0.175753 | + | 0.344935i | ||||
\(874\) | 36.4121 | − | 18.2428i | 1.23166 | − | 0.617071i | ||||
\(875\) | 43.0721 | − | 19.3144i | 1.45610 | − | 0.652945i | ||||
\(876\) | −52.5877 | + | 62.6715i | −1.77677 | + | 2.11748i | ||||
\(877\) | −14.6188 | − | 1.79496i | −0.493642 | − | 0.0606116i | −0.128780 | − | 0.991673i | \(-0.541106\pi\) |
−0.364862 | + | 0.931062i | \(0.618884\pi\) | |||||||
\(878\) | 12.4364 | − | 0.217077i | 0.419707 | − | 0.00732601i | ||||
\(879\) | −25.6113 | + | 12.4915i | −0.863847 | + | 0.421327i | ||||
\(880\) | −32.4839 | + | 63.8932i | −1.09503 | + | 2.15384i | ||||
\(881\) | −4.26410 | + | 40.5702i | −0.143661 | + | 1.36684i | 0.650671 | + | 0.759360i | \(0.274488\pi\) |
−0.794332 | + | 0.607484i | \(0.792179\pi\) | |||||||
\(882\) | −29.9562 | − | 111.798i | −1.00868 | − | 3.76444i | ||||
\(883\) | −25.4441 | + | 29.2700i | −0.856261 | + | 0.985015i | −0.999989 | − | 0.00460182i | \(-0.998535\pi\) |
0.143729 | + | 0.989617i | \(0.454091\pi\) | |||||||
\(884\) | 6.47430 | + | 16.0244i | 0.217754 | + | 0.538960i | ||||
\(885\) | 41.7467 | − | 20.4071i | 1.40330 | − | 0.685976i | ||||
\(886\) | −61.0709 | − | 54.9884i | −2.05172 | − | 1.84737i | ||||
\(887\) | −0.0913192 | − | 0.743735i | −0.00306620 | − | 0.0249722i | 0.990935 | − | 0.134346i | \(-0.0428933\pi\) |
−0.994001 | + | 0.109374i | \(0.965116\pi\) | |||||||
\(888\) | 35.2138 | + | 115.179i | 1.18170 | + | 3.86516i | ||||
\(889\) | 24.8637 | − | 13.2203i | 0.833902 | − | 0.443393i | ||||
\(890\) | 54.7505 | − | 3.87731i | 1.83524 | − | 0.129968i | ||||
\(891\) | −12.6632 | + | 7.91284i | −0.424233 | + | 0.265090i | ||||
\(892\) | 1.83879 | − | 0.291236i | 0.0615674 | − | 0.00975132i | ||||
\(893\) | 20.9811 | − | 26.4823i | 0.702107 | − | 0.886196i | ||||
\(894\) | 29.7100 | − | 40.8923i | 0.993651 | − | 1.36764i | ||||
\(895\) | 1.41471 | − | 7.31266i | 0.0472885 | − | 0.244435i | ||||
\(896\) | −2.67726 | − | 1.80583i | −0.0894409 | − | 0.0603286i | ||||
\(897\) | −0.187404 | − | 10.7364i | −0.00625724 | − | 0.358477i | ||||
\(898\) | 47.7789 | − | 63.4048i | 1.59440 | − | 2.11584i | ||||
\(899\) | −21.2255 | + | 58.3167i | −0.707911 | + | 1.94497i | ||||
\(900\) | −81.9862 | + | 55.5121i | −2.73287 | + | 1.85040i | ||||
\(901\) | 9.10277 | + | 5.25548i | 0.303257 | + | 0.175086i | ||||
\(902\) | −18.4348 | − | 79.8499i | −0.613812 | − | 2.65871i | ||||
\(903\) | −16.9571 | + | 10.1888i | −0.564296 | + | 0.339063i | ||||
\(904\) | −24.7833 | + | 2.60483i | −0.824281 | + | 0.0866354i | ||||
\(905\) | −5.78007 | + | 25.1379i | −0.192136 | + | 0.835612i | ||||
\(906\) | 123.473 | − | 83.2838i | 4.10213 | − | 2.76692i | ||||
\(907\) | −0.0741478 | − | 0.105894i | −0.00246204 | − | 0.00351616i | 0.817919 | − | 0.575333i | \(-0.195128\pi\) |
−0.820381 | + | 0.571817i | \(0.806239\pi\) | |||||||
\(908\) | −32.0250 | + | 11.0271i | −1.06279 | + | 0.365947i | ||||
\(909\) | −21.5256 | + | 0.751689i | −0.713958 | + | 0.0249320i | ||||
\(910\) | 27.8906 | + | 0.949205i | 0.924565 | + | 0.0314658i | ||||
\(911\) | 4.50908 | − | 1.46509i | 0.149392 | − | 0.0485405i | −0.233366 | − | 0.972389i | \(-0.574974\pi\) |
0.382759 | + | 0.923848i | \(0.374974\pi\) | |||||||
\(912\) | −62.9176 | − | 94.6582i | −2.08341 | − | 3.13445i | ||||
\(913\) | 9.03505 | + | 17.7323i | 0.299016 | + | 0.586853i | ||||
\(914\) | −39.9417 | + | 98.8592i | −1.32115 | + | 3.26997i | ||||
\(915\) | 29.9403 | − | 12.1276i | 0.989796 | − | 0.400925i | ||||
\(916\) | −104.131 | − | 14.6347i | −3.44060 | − | 0.483544i | ||||
\(917\) | −55.7328 | − | 0.972820i | −1.84046 | − | 0.0321253i | ||||
\(918\) | −21.6381 | + | 10.0900i | −0.714162 | + | 0.333019i | ||||
\(919\) | −6.28013 | − | 0.660068i | −0.207162 | − | 0.0217736i | 0.000378774 | − | 1.00000i | \(-0.499879\pi\) |
−0.207541 | + | 0.978226i | \(0.566546\pi\) | |||||||
\(920\) | −48.6848 | + | 34.1538i | −1.60509 | + | 1.12602i | ||||
\(921\) | −8.51253 | + | 34.1419i | −0.280497 | + | 1.12501i | ||||
\(922\) | −35.2369 | − | 58.6440i | −1.16047 | − | 1.93134i | ||||
\(923\) | 3.26183 | − | 2.11826i | 0.107364 | − | 0.0697233i | ||||
\(924\) | 89.1210 | + | 154.362i | 2.93187 | + | 5.07814i | ||||
\(925\) | −3.64818 | + | 30.1540i | −0.119952 | + | 0.991457i | ||||
\(926\) | 84.3188 | + | 14.8677i | 2.77089 | + | 0.488582i | ||||
\(927\) | 0.626948 | − | 2.05065i | 0.0205917 | − | 0.0673523i | ||||
\(928\) | −18.6518 | − | 95.9552i | −0.612276 | − | 3.14988i | ||||
\(929\) | 0.775167 | − | 11.0854i | 0.0254324 | − | 0.363700i | −0.968133 | − | 0.250438i | \(-0.919425\pi\) |
0.993565 | − | 0.113263i | \(-0.0361301\pi\) | |||||||
\(930\) | −20.3461 | − | 104.178i | −0.667175 | − | 3.41615i | ||||
\(931\) | 46.5574 | + | 7.69812i | 1.52586 | + | 0.252296i | ||||
\(932\) | −45.6989 | − | 45.6989i | −1.49692 | − | 1.49692i | ||||
\(933\) | −24.0099 | + | 39.9591i | −0.786048 | + | 1.30820i | ||||
\(934\) | 1.13716 | + | 32.5640i | 0.0372090 | + | 1.06553i | ||||
\(935\) | −19.9928 | + | 11.5665i | −0.653834 | + | 0.378264i | ||||
\(936\) | −34.0448 | + | 4.78469i | −1.11279 | + | 0.156392i | ||||
\(937\) | 19.6544 | − | 2.41326i | 0.642083 | − | 0.0788379i | 0.205723 | − | 0.978610i | \(-0.434045\pi\) |
0.436360 | + | 0.899772i | \(0.356268\pi\) | |||||||
\(938\) | 53.7995 | − | 82.8439i | 1.75662 | − | 2.70495i | ||||
\(939\) | 27.2196 | + | 5.78569i | 0.888276 | + | 0.188809i | ||||
\(940\) | −41.9356 | + | 72.7835i | −1.36779 | + | 2.37394i | ||||
\(941\) | −17.0368 | + | 6.88330i | −0.555383 | + | 0.224389i | −0.635102 | − | 0.772428i | \(-0.719042\pi\) |
0.0797196 | + | 0.996817i | \(0.474598\pi\) | |||||||
\(942\) | 41.0360 | + | 15.7522i | 1.33703 | + | 0.513236i | ||||
\(943\) | 8.84547 | − | 33.0117i | 0.288048 | − | 1.07501i | ||||
\(944\) | −42.7628 | − | 63.3985i | −1.39181 | − | 2.06345i | ||||
\(945\) | 0.500457 | + | 27.2849i | 0.0162799 | + | 0.887577i | ||||
\(946\) | 10.4694 | − | 10.8414i | 0.340390 | − | 0.352484i | ||||
\(947\) | 27.5014 | − | 5.34572i | 0.893674 | − | 0.173713i | 0.276943 | − | 0.960886i | \(-0.410679\pi\) |
0.616731 | + | 0.787174i | \(0.288456\pi\) | |||||||
\(948\) | −80.5487 | − | 189.761i | −2.61610 | − | 6.16315i | ||||
\(949\) | −7.16392 | −0.232551 | ||||||||
\(950\) | −9.62108 | − | 56.2097i | −0.312149 | − | 1.82368i | ||||
\(951\) | 42.2863 | 1.37123 | ||||||||
\(952\) | −38.7864 | − | 91.3751i | −1.25708 | − | 2.96148i | ||||
\(953\) | 35.3178 | − | 6.86508i | 1.14406 | − | 0.222382i | 0.416964 | − | 0.908923i | \(-0.363094\pi\) |
0.727091 | + | 0.686541i | \(0.240872\pi\) | |||||||
\(954\) | −24.7292 | + | 25.6079i | −0.800639 | + | 0.829086i | ||||
\(955\) | 8.45769 | − | 12.1017i | 0.273684 | − | 0.391600i | ||||
\(956\) | −67.6585 | − | 100.308i | −2.18823 | − | 3.24419i | ||||
\(957\) | −20.5290 | + | 76.6151i | −0.663607 | + | 2.47661i | ||||
\(958\) | −64.2855 | − | 24.6769i | −2.07697 | − | 0.797274i | ||||
\(959\) | 53.4534 | − | 21.5966i | 1.72610 | − | 0.697390i | ||||
\(960\) | 33.8783 | + | 37.5587i | 1.09342 | + | 1.21220i | ||||
\(961\) | 15.1116 | + | 3.21207i | 0.487471 | + | 0.103615i | ||||
\(962\) | −9.77994 | + | 15.0598i | −0.315318 | + | 0.485547i | ||||
\(963\) | 9.86703 | − | 1.21152i | 0.317961 | − | 0.0390406i | ||||
\(964\) | 66.7566 | − | 9.38202i | 2.15008 | − | 0.302175i | ||||
\(965\) | 38.0932 | + | 34.2382i | 1.22626 | + | 1.10217i | ||||
\(966\) | 3.66474 | + | 104.944i | 0.117911 | + | 3.37653i | ||||
\(967\) | −28.7686 | + | 47.8790i | −0.925136 | + | 1.53968i | −0.0856345 | + | 0.996327i | \(0.527292\pi\) |
−0.839501 | + | 0.543358i | \(0.817153\pi\) | |||||||
\(968\) | 1.53757 | + | 1.53757i | 0.0494192 | + | 0.0494192i | ||||
\(969\) | −0.390747 | − | 36.6247i | −0.0125526 | − | 1.17655i | ||||
\(970\) | 11.9890 | + | 11.1601i | 0.384944 | + | 0.358328i | ||||
\(971\) | −3.66921 | + | 52.4721i | −0.117750 | + | 1.68391i | 0.476144 | + | 0.879367i | \(0.342034\pi\) |
−0.593894 | + | 0.804543i | \(0.702410\pi\) | |||||||
\(972\) | 19.2522 | + | 99.0439i | 0.617514 | + | 3.17683i | ||||
\(973\) | 12.1290 | − | 39.6722i | 0.388838 | − | 1.27183i | ||||
\(974\) | 53.8044 | + | 9.48716i | 1.72400 | + | 0.303988i | ||||
\(975\) | −14.4608 | − | 4.11882i | −0.463115 | − | 0.131908i | ||||
\(976\) | −26.5810 | − | 46.0396i | −0.850836 | − | 1.47369i | ||||
\(977\) | −9.97572 | + | 6.47831i | −0.319152 | + | 0.207259i | −0.694265 | − | 0.719719i | \(-0.744270\pi\) |
0.375113 | + | 0.926979i | \(0.377604\pi\) | |||||||
\(978\) | 51.3578 | + | 85.4737i | 1.64224 | + | 2.73315i | ||||
\(979\) | −7.42651 | + | 29.7861i | −0.237352 | + | 0.951969i | ||||
\(980\) | −117.307 | − | 1.94357i | −3.74724 | − | 0.0620852i | ||||
\(981\) | 7.13578 | + | 0.750001i | 0.227828 | + | 0.0239457i | ||||
\(982\) | −49.1679 | + | 22.9274i | −1.56901 | + | 0.731642i | ||||
\(983\) | 9.57649 | + | 0.167158i | 0.305443 | + | 0.00533152i | 0.169969 | − | 0.985449i | \(-0.445633\pi\) |
0.135474 | + | 0.990781i | \(0.456744\pi\) | |||||||
\(984\) | −187.914 | − | 26.4096i | −5.99049 | − | 0.841909i | ||||
\(985\) | −3.62624 | − | 51.2052i | −0.115542 | − | 1.63153i | ||||
\(986\) | 28.1743 | − | 69.7339i | 0.897253 | − | 2.22078i | ||||
\(987\) | 39.5490 | + | 77.6194i | 1.25886 | + | 2.47065i | ||||
\(988\) | 6.73370 | − | 22.8958i | 0.214227 | − | 0.728411i | ||||
\(989\) | 5.97767 | − | 1.94226i | 0.190079 | − | 0.0617603i | ||||
\(990\) | −21.6292 | − | 75.1784i | −0.687421 | − | 2.38933i | ||||
\(991\) | 24.2760 | − | 0.847737i | 0.771153 | − | 0.0269293i | 0.353379 | − | 0.935480i | \(-0.385033\pi\) |
0.417774 | + | 0.908551i | \(0.362810\pi\) | |||||||
\(992\) | −69.1772 | + | 23.8196i | −2.19638 | + | 0.756274i | ||||
\(993\) | −8.76691 | − | 12.5204i | −0.278210 | − | 0.397324i | ||||
\(994\) | −31.5315 | + | 21.2683i | −1.00012 | + | 0.674588i | ||||
\(995\) | −20.0141 | − | 47.0343i | −0.634490 | − | 1.49109i | ||||
\(996\) | 78.0315 | − | 8.20145i | 2.47252 | − | 0.259873i | ||||
\(997\) | 15.9866 | − | 9.60570i | 0.506300 | − | 0.304216i | −0.238915 | − | 0.971041i | \(-0.576792\pi\) |
0.745214 | + | 0.666825i | \(0.232347\pi\) | |||||||
\(998\) | 11.8115 | + | 51.1613i | 0.373887 | + | 1.61948i | ||||
\(999\) | −15.2070 | − | 8.77977i | −0.481128 | − | 0.277780i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 475.2.bi.a.117.46 | yes | 2304 | |
19.13 | odd | 18 | inner | 475.2.bi.a.317.3 | yes | 2304 | |
25.3 | odd | 20 | inner | 475.2.bi.a.3.3 | ✓ | 2304 | |
475.203 | even | 180 | inner | 475.2.bi.a.203.46 | yes | 2304 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
475.2.bi.a.3.3 | ✓ | 2304 | 25.3 | odd | 20 | inner | |
475.2.bi.a.117.46 | yes | 2304 | 1.1 | even | 1 | trivial | |
475.2.bi.a.203.46 | yes | 2304 | 475.203 | even | 180 | inner | |
475.2.bi.a.317.3 | yes | 2304 | 19.13 | odd | 18 | inner |